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  1. Article: Coronavirus pandemic: A predictive analysis of the peak outbreak epidemic in South Africa, Turkey, and Brazil.

    Djilali, Salih / Ghanbari, Behzad

    Chaos, solitons, and fractals

    2020  Volume 138, Page(s) 109971

    Abstract: In this research, we are interested in predicting the epidemic peak outbreak of the Coronavirus in South Africa, Turkey, and Brazil. Until now, there is no known safe treatment, hence the immunity system of the individual has a crucial role in recovering ...

    Abstract In this research, we are interested in predicting the epidemic peak outbreak of the Coronavirus in South Africa, Turkey, and Brazil. Until now, there is no known safe treatment, hence the immunity system of the individual has a crucial role in recovering from this contagious disease. In general, the aged individuals probably have the highest rate of mortality due to COVID-19. It is well known that this immunity system can be affected by the age of the individual, so it is wise to consider an age-structured SEIR system to model Coronavirus transmission. For the COVID-19 epidemic, the individuals in the incubation stage are capable of infecting the susceptible individuals. All the mentioned points are regarded in building the responsible predictive mathematical model. The investigated model allows us to predict the spread of COID-19 in South Africa, Turkey, and Brazil. The epidemic peak outbreak in these countries is considered, and the estimated time of the end of infection is regarded by the help of some numerical simulations. Further, the influence of the isolation of the infected persons on the spread of COVID-19 disease is investigated.
    Keywords covid19
    Language English
    Publishing date 2020-06-05
    Publishing country England
    Document type Journal Article
    ZDB-ID 2003919-0
    ISSN 1873-2887 ; 0960-0779
    ISSN (online) 1873-2887
    ISSN 0960-0779
    DOI 10.1016/j.chaos.2020.109971
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  2. Article ; Online: Threshold dynamics of difference equations for SEIR model with nonlinear incidence function and infinite delay.

    Bentout, Soufiane / Djilali, Salih / Kumar, Sunil / Touaoula, Tarik Mohammed

    European physical journal plus

    2021  Volume 136, Issue 5, Page(s) 587

    Abstract: In this research, we explore the global conduct of age-structured SEIR system with nonlinear incidence functional (NIF), where a threshold behavior is obtained. More precisely, we will analyze the investigated model differently, where we will rewrite it ... ...

    Abstract In this research, we explore the global conduct of age-structured SEIR system with nonlinear incidence functional (NIF), where a threshold behavior is obtained. More precisely, we will analyze the investigated model differently, where we will rewrite it as a difference equations with infinite delay by the help of the characteristic method. Using standard conditions on the nonlinear incidence functional that can fit with a vast class of a well-known incidence functionals, we investigated the global asymptotic stability (GAS) of the disease-free equilibrium (DFE) using a Lyapunov functional (LF) for
    Language English
    Publishing date 2021-05-27
    Publishing country Germany
    Document type Journal Article
    ISSN 2190-5444
    ISSN (online) 2190-5444
    DOI 10.1140/epjp/s13360-021-01466-0
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  3. Article: Modeling the Impact of Unreported Cases of the COVID-19 in the North African Countries.

    Djilali, Salih / Benahmadi, Lahbib / Tridane, Abdessamad / Niri, Khadija

    Biology

    2020  Volume 9, Issue 11

    Abstract: In this paper, we study a mathematical model investigating the impact of unreported cases of the COVID-19 in three North African countries: Algeria, Egypt, and Morocco. To understand how the population respects the restriction of population mobility ... ...

    Abstract In this paper, we study a mathematical model investigating the impact of unreported cases of the COVID-19 in three North African countries: Algeria, Egypt, and Morocco. To understand how the population respects the restriction of population mobility implemented in each country, we use Google and Apple's mobility reports. These mobility reports help to quantify the effect of the population movement restrictions on the evolution of the active infection cases. We also approximate the number of the population infected unreported, the proportion of those that need hospitalization, and estimate the end of the epidemic wave. Moreover, we use our model to estimate the second wave of the COVID-19 Algeria and Morocco and to project the end of the second wave. Finally, we suggest some additional measures that can be considered to reduce the burden of the COVID-19 and would lead to a second wave of the spread of the virus in these countries.
    Keywords covid19
    Language English
    Publishing date 2020-11-03
    Publishing country Switzerland
    Document type Journal Article
    ZDB-ID 2661517-4
    ISSN 2079-7737
    ISSN 2079-7737
    DOI 10.3390/biology9110373
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  4. Article ; Online: Optimal harvesting and stability of a predator-prey model for fish populations with schooling behavior.

    Hacini, Mohamed El Mahdi / Hammoudi, Djammel / Djilali, Salih / Bentout, Soufiane

    Theory in biosciences = Theorie in den Biowissenschaften

    2021  Volume 140, Issue 2, Page(s) 225–239

    Abstract: In this paper, the schooling behavior of prey fish population in a predator-prey interaction is investigated. By taking an economical interest which can be elaborated by the presence of nonselective harvesting into consideration, we studied the dynamical ...

    Abstract In this paper, the schooling behavior of prey fish population in a predator-prey interaction is investigated. By taking an economical interest which can be elaborated by the presence of nonselective harvesting into consideration, we studied the dynamical behavior. The existence, positivity and boundedness of solution have been established. The analysis of the equilibrium states is presented by studying the local and the global stability. The possible types of local bifurcation that the system can undergoes are discussed. The effect of fishing effort on the evolution of the species is examined. Further, by using Pontryagin's maximum principle a proper management strategy has been used for avoiding the extinction of the considered species and maximizing the benefits. For the validation of the theoretical result, several of graphical representations have been used.
    MeSH term(s) Animals ; Food Chain ; Models, Biological ; Population Dynamics ; Predatory Behavior
    Language English
    Publishing date 2021-05-25
    Publishing country Germany
    Document type Journal Article
    ZDB-ID 1376847-5
    ISSN 1611-7530 ; 1431-7613
    ISSN (online) 1611-7530
    ISSN 1431-7613
    DOI 10.1007/s12064-021-00347-5
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    In stock of ZB MED Bonn / Germany

    Z 46/348: Show issues

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  5. Article ; Online: Influence of Allee effect on the spatiotemporal behavior of a diffusive predator-prey model with Crowley-Martin type response function.

    Guin, Lakshmi Narayan / Pal, Pallav Jyoti / Alzahrani, Jawaher / Ali, Nijamuddin / Sarkar, Krishnendu / Djilali, Salih / Zeb, Anwar / Khan, Ilyas / Eldin, Sayed M

    Scientific reports

    2023  Volume 13, Issue 1, Page(s) 4710

    Abstract: The present paper is dealt with a predator-prey model in which the growth of the prey population is influenced by the Allee effect while the predator species are contended with the prey population following the Crowley-Martin type response function. The ... ...

    Abstract The present paper is dealt with a predator-prey model in which the growth of the prey population is influenced by the Allee effect while the predator species are contended with the prey population following the Crowley-Martin type response function. The proposed model is comprehensively analyzed in terms of stability and manifestation of bifurcation of the system. The system unveils the bi-stability together with the existence of a separatrix. In view of the eminence of spatial ecology, the dynamical complexity emanating from the induction of the Allee effect in prey species of a Crowley-Martin reaction-diffusion predator-prey model is also investigated profoundly. The results of numerical simulations reveal that the present system dynamics is motivated by both the Allee effect and diffusion-controlled pattern formation growth to hot spots, stripe-hot spot mixtures, stripes, labyrinthine, stripe-cold spot mixtures, and cold spots replication. The theoretical consequences of the spatiotemporal model under study are validated through numerical simulations.
    Language English
    Publishing date 2023-03-22
    Publishing country England
    Document type Journal Article
    ZDB-ID 2615211-3
    ISSN 2045-2322 ; 2045-2322
    ISSN (online) 2045-2322
    ISSN 2045-2322
    DOI 10.1038/s41598-023-28419-0
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  6. Article: Modeling the Impact of Unreported Cases of the COVID-19 in the North African Countries

    Djilali, Salih / Benahmadi, Lahbib / Tridane, Abdessamad / Niri, Khadija

    Biology. 2020 Nov. 03, v. 9, no. 11

    2020  

    Abstract: In this paper, we study a mathematical model investigating the impact of unreported cases of the COVID-19 in three North African countries: Algeria, Egypt, and Morocco. To understand how the population respects the restriction of population mobility ... ...

    Abstract In this paper, we study a mathematical model investigating the impact of unreported cases of the COVID-19 in three North African countries: Algeria, Egypt, and Morocco. To understand how the population respects the restriction of population mobility implemented in each country, we use Google and Apple’s mobility reports. These mobility reports help to quantify the effect of the population movement restrictions on the evolution of the active infection cases. We also approximate the number of the population infected unreported, the proportion of those that need hospitalization, and estimate the end of the epidemic wave. Moreover, we use our model to estimate the second wave of the COVID-19 Algeria and Morocco and to project the end of the second wave. Finally, we suggest some additional measures that can be considered to reduce the burden of the COVID-19 and would lead to a second wave of the spread of the virus in these countries.
    Keywords Coronavirus infections ; apples ; evolution ; infection ; lead ; mathematical models ; paper ; population ; viruses ; Algeria ; Egypt ; Morocco
    Language English
    Dates of publication 2020-1103
    Publishing place Multidisciplinary Digital Publishing Institute
    Document type Article
    Note NAL-light
    ZDB-ID 2661517-4
    ISSN 2079-7737
    ISSN 2079-7737
    DOI 10.3390/biology9110373
    Database NAL-Catalogue (AGRICOLA)

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  7. Article: Modeling the Impact of Unreported Cases of the COVID-19 in the North African Countries

    Djilali, Salih Benahmadi Lahbib Tridane Abdessamad Niri Khadija

    Biology

    Abstract: In this paper, we study a mathematical model investigating the impact of unreported cases of the COVID-19 in three North African countries: Algeria, Egypt, and Morocco To understand how the population respects the restriction of population mobility ... ...

    Abstract In this paper, we study a mathematical model investigating the impact of unreported cases of the COVID-19 in three North African countries: Algeria, Egypt, and Morocco To understand how the population respects the restriction of population mobility implemented in each country, we use Google and Apple’s mobility reports These mobility reports help to quantify the effect of the population movement restrictions on the evolution of the active infection cases We also approximate the number of the population infected unreported, the proportion of those that need hospitalization, and estimate the end of the epidemic wave Moreover, we use our model to estimate the second wave of the COVID-19 Algeria and Morocco and to project the end of the second wave Finally, we suggest some additional measures that can be considered to reduce the burden of the COVID-19 and would lead to a second wave of the spread of the virus in these countries
    Keywords covid19
    Publisher WHO
    Document type Article
    Note WHO #Covidence: #896283
    Database COVID19

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  8. Article: Coronavirus pandemic: A predictive analysis of the peak outbreak epidemic in South Africa, Turkey, and Brazil

    Djilali, Salih / Ghanbari, Behzad

    Chaos Solitons Fractals

    Abstract: In this research, we are interested in predicting the epidemic peak outbreak of the Coronavirus in South Africa, Turkey, and Brazil. Until now, there is no known safe treatment, hence the immunity system of the individual has a crucial role in recovering ...

    Abstract In this research, we are interested in predicting the epidemic peak outbreak of the Coronavirus in South Africa, Turkey, and Brazil. Until now, there is no known safe treatment, hence the immunity system of the individual has a crucial role in recovering from this contagious disease. In general, the aged individuals probably have the highest rate of mortality due to COVID-19. It is well known that this immunity system can be affected by the age of the individual, so it is wise to consider an age-structured SEIR system to model Coronavirus transmission. For the COVID-19 epidemic, the individuals in the incubation stage are capable of infecting the susceptible individuals. All the mentioned points are regarded in building the responsible predictive mathematical model. The investigated model allows us to predict the spread of COID-19 in South Africa, Turkey, and Brazil. The epidemic peak outbreak in these countries is considered, and the estimated time of the end of infection is regarded by the help of some numerical simulations. Further, the influence of the isolation of the infected persons on the spread of COVID-19 disease is investigated.
    Keywords covid19
    Publisher WHO
    Document type Article
    Note WHO #Covidence: #549033
    Database COVID19

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  9. Article ; Online: Coronavirus pandemic

    Djilali, Salih / Ghanbari, Behzad

    reponame:Expeditio Repositorio Institucional UJTL ; instname:Universidad de Bogotá Jorge Tadeo Lozano

    A predictive analysis of the peak outbreak epidemic in South Africa, Turkey, and Brazil

    2020  

    Abstract: In this research, we are interested in predicting the epidemic peak outbreak of the Coronavirus in South Africa, Turkey, and Brazil. Until now, there is no known safe treatment, hence the immunity system of the individual has a crucial role in recovering ...

    Abstract In this research, we are interested in predicting the epidemic peak outbreak of the Coronavirus in South Africa, Turkey, and Brazil. Until now, there is no known safe treatment, hence the immunity system of the individual has a crucial role in recovering from this contagious disease. In general, the aged individuals probably have the highest rate of mortality due to COVID-19. It is well known that this immunity system can be affected by the age of the individual, so it is wise to consider an age-structured SEIR system to model Coronavirus transmission. For the COVID-19 epidemic, the individuals in the incubation stage are capable of infecting the susceptible individuals. All the mentioned points are regarded in building the responsible predictive mathematical model. The investigated model allows us to predict the spread of COID-19 in South Africa, Turkey, and Brazil. The epidemic peak outbreak in these countries is considered, and the estimated time of the end of infection is regarded by the help of some numerical simulations. Further, the influence of the isolation of the infected persons on the spread of COVID-19 disease is investigated.
    Keywords COVID-19 ; Age-structured ; SIR model ; Basic reproduction number ; Peak epidemic ; Computational epidemiology ; Síndrome respiratorio agudo grave ; SARS-CoV-2 ; Coronavirus ; covid19
    Publisher Chaos, Solitons and Fractals
    Publishing country co
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

    Full text online

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  10. Article ; Online: Modeling the Impact of Unreported Cases of the COVID-19 in the North African Countries

    Salih Djilali / Lahbib Benahmadi / Abdessamad Tridane / Khadija Niri

    Biology, Vol 9, Iss 373, p

    2020  Volume 373

    Abstract: In this paper, we study a mathematical model investigating the impact of unreported cases of the COVID-19 in three North African countries: Algeria, Egypt, and Morocco. To understand how the population respects the restriction of population mobility ... ...

    Abstract In this paper, we study a mathematical model investigating the impact of unreported cases of the COVID-19 in three North African countries: Algeria, Egypt, and Morocco. To understand how the population respects the restriction of population mobility implemented in each country, we use Google and Apple’s mobility reports. These mobility reports help to quantify the effect of the population movement restrictions on the evolution of the active infection cases. We also approximate the number of the population infected unreported, the proportion of those that need hospitalization, and estimate the end of the epidemic wave. Moreover, we use our model to estimate the second wave of the COVID-19 Algeria and Morocco and to project the end of the second wave. Finally, we suggest some additional measures that can be considered to reduce the burden of the COVID-19 and would lead to a second wave of the spread of the virus in these countries.
    Keywords COVID-19 ; unreported cases ; lockdown ; basic reproduction number ; hospitalized individuals ; Biology (General) ; QH301-705.5
    Language English
    Publishing date 2020-11-01T00:00:00Z
    Publisher MDPI AG
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

    Full text online

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