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  1. Article ; Online: Risk estimation and prediction of the transmission of coronavirus disease-2019 (COVID-19) in the mainland of China excluding Hubei province

    Hui Wan / Jing-An Cui / Guo-Jing Yang

    Infectious Diseases of Poverty, Vol 9, Iss 1, Pp 1-

    2020  Volume 9

    Abstract: Abstract Background In December 2019, an outbreak of coronavirus disease (later named as COVID-19) was identified in Wuhan, China and, later on, detected in other parts of China. Our aim is to evaluate the effectiveness of the evolution of interventions ... ...

    Abstract Abstract Background In December 2019, an outbreak of coronavirus disease (later named as COVID-19) was identified in Wuhan, China and, later on, detected in other parts of China. Our aim is to evaluate the effectiveness of the evolution of interventions and self-protection measures, estimate the risk of partial lifting control measures and predict the epidemic trend of the virus in the mainland of China excluding Hubei province based on the published data and a novel mathematical model. Methods A novel COVID-19 transmission dynamic model incorporating the intervention measures implemented in China is proposed. COVID-19 daily data of the mainland of China excluding Hubei province, including the cumulative confirmed cases, the cumulative deaths, newly confirmed cases and the cumulative recovered cases between 20 January and 3 March 2020, were archived from the National Health Commission of China (NHCC). We parameterize the model by using the Markov Chain Monte Carlo (MCMC) method and estimate the control reproduction number (R c ), as well as the effective daily reproduction ratio- R e (t), of the disease transmission in the mainland of China excluding Hubei province. Results The estimation outcomes indicate that R c is 3.36 (95% CI: 3.20–3.64) and R e (t) has dropped below 1 since 31 January 2020, which implies that the containment strategies implemented by the Chinese government in the mainland of China are indeed effective and magnificently suppressed COVID-19 transmission. Moreover, our results show that relieving personal protection too early may lead to a prolonged disease transmission period and more people would be infected, and may even cause a second wave of epidemic or outbreaks. By calculating the effective reproduction ratio, we prove that the contact rate should be kept at least less than 30% of the normal level by April, 2020. Conclusions To ensure the pandemic ending rapidly, it is necessary to maintain the current integrated restrict interventions and self-protection measures, including travel ...
    Keywords COVID-19 ; Risk estimation and prediction ; Intervention measure ; Contact tracing ; Control reproduction number ; Effective daily reproduction ratio ; Infectious and parasitic diseases ; RC109-216 ; Public aspects of medicine ; RA1-1270 ; covid19
    Subject code 950
    Language English
    Publishing date 2020-08-01T00:00:00Z
    Publisher BMC
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  2. Article ; Online: Rich Dynamics of an Epidemic Model with Saturation Recovery

    Hui Wan / Jing-an Cui

    Journal of Applied Mathematics, Vol

    2013  Volume 2013

    Keywords Mathematics ; QA1-939 ; Science ; Q ; DOAJ:Mathematics ; DOAJ:Mathematics and Statistics
    Language English
    Publishing date 2013-01-01T00:00:00Z
    Publisher Hindawi Publishing Corporation
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  3. Article ; Online: A Schistosomiasis Model with Mating Structure

    Longxing Qi / Jing-an Cui

    Abstract and Applied Analysis, Vol

    2013  Volume 2013

    Keywords Mathematics ; QA1-939 ; Science ; Q ; DOAJ:Mathematics ; DOAJ:Mathematics and Statistics
    Language English
    Publishing date 2013-01-01T00:00:00Z
    Publisher Hindawi Publishing Corporation
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  4. Article ; Online: A Schistosomiasis Model with Praziquantel Resistance

    Longxing Qi / Jing-an Cui

    Discrete Dynamics in Nature and Society, Vol

    2013  Volume 2013

    Abstract: A compartmental model is established for schistosomiasis with praziquantel resistance. The model considers the impact of genetic resistance and drug treatment on the transmission of schistosomiasis. We calculate the basic reproductive number and discuss ... ...

    Abstract A compartmental model is established for schistosomiasis with praziquantel resistance. The model considers the impact of genetic resistance and drug treatment on the transmission of schistosomiasis. We calculate the basic reproductive number and discuss the existence and stability of disease-free equilibrium, boundary equilibrium, and coexistence equilibrium. Our analysis shows that regardless of whether drug treatment leads to the emergence of resistance, once the impact of genetic resistance is larger, the resistant strain will be dominant, which is detrimental to the control of schistosomiasis. In addition, once the proportion of human with drug-resistant strain produced by drug treatment is larger, the number of human and snails with resistant strain is larger. This is not a good result for drug treatment with praziquantel.
    Keywords Mathematics ; QA1-939 ; Social sciences (General) ; H1-99
    Language English
    Publishing date 2013-01-01T00:00:00Z
    Publisher Hindawi Publishing Corporation
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  5. Article ; Online: A Malaria Model with Two Delays

    Hui Wan / Jing-an Cui

    Discrete Dynamics in Nature and Society, Vol

    2013  Volume 2013

    Abstract: A transmission model of malaria with two delays is formulated. We calculate the basic reproduction number R0 for the model. It is shown that the basic reproduction number is a decreasing function of two time delays. The existence of the equilibria is ... ...

    Abstract A transmission model of malaria with two delays is formulated. We calculate the basic reproduction number R0 for the model. It is shown that the basic reproduction number is a decreasing function of two time delays. The existence of the equilibria is studied. Our results suggest that the model undergoes a backward bifurcation, which implies that bringing the basic reproduction number below 1 is not enough to eradicate malaria.
    Keywords Mathematics ; QA1-939 ; Social sciences (General) ; H1-99
    Language English
    Publishing date 2013-01-01T00:00:00Z
    Publisher Hindawi Publishing Corporation
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  6. Article ; Online: A mathematical model for simulating the phase-based transmissibility of a novel coronavirus

    Tian-Mu Chen / Jia Rui / Qiu-Peng Wang / Ze-Yu Zhao / Jing-An Cui / Ling Yin

    Infectious Diseases of Poverty, Vol 9, Iss 1, Pp 1-

    2020  Volume 8

    Abstract: Abstract Background As reported by the World Health Organization, a novel coronavirus (2019-nCoV) was identified as the causative virus of Wuhan pneumonia of unknown etiology by Chinese authorities on 7 January, 2020. The virus was named as severe acute ... ...

    Abstract Abstract Background As reported by the World Health Organization, a novel coronavirus (2019-nCoV) was identified as the causative virus of Wuhan pneumonia of unknown etiology by Chinese authorities on 7 January, 2020. The virus was named as severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) by International Committee on Taxonomy of Viruses on 11 February, 2020. This study aimed to develop a mathematical model for calculating the transmissibility of the virus. Methods In this study, we developed a Bats-Hosts-Reservoir-People transmission network model for simulating the potential transmission from the infection source (probably be bats) to the human infection. Since the Bats-Hosts-Reservoir network was hard to explore clearly and public concerns were focusing on the transmission from Huanan Seafood Wholesale Market (reservoir) to people, we simplified the model as Reservoir-People (RP) transmission network model. The next generation matrix approach was adopted to calculate the basic reproduction number (R 0) from the RP model to assess the transmissibility of the SARS-CoV-2. Results The value of R 0 was estimated of 2.30 from reservoir to person and 3.58 from person to person which means that the expected number of secondary infections that result from introducing a single infected individual into an otherwise susceptible population was 3.58. Conclusions Our model showed that the transmissibility of SARS-CoV-2 was higher than the Middle East respiratory syndrome in the Middle East countries, similar to severe acute respiratory syndrome, but lower than MERS in the Republic of Korea.
    Keywords Novel coronavirus ; Mathematical model ; Basic reproduction number ; Next generation matrix ; Transmissibility ; Infectious and parasitic diseases ; RC109-216 ; Public aspects of medicine ; RA1-1270 ; covid19
    Language English
    Publishing date 2020-02-01T00:00:00Z
    Publisher BMC
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  7. Article ; Online: A Simple Predator-Prey Population Model with Rich Dynamics

    Bing Li / Shengqiang Liu / Jing’an Cui / Jia Li

    Applied Sciences, Vol 6, Iss 5, p

    2016  Volume 151

    Abstract: A non-smooth switched harvest on predators is introduced into a simple predator-prey model with logistical growth of the prey and a bilinear functional response. If the density of the predator is below a switched value, the harvesting rate is linear; ... ...

    Abstract A non-smooth switched harvest on predators is introduced into a simple predator-prey model with logistical growth of the prey and a bilinear functional response. If the density of the predator is below a switched value, the harvesting rate is linear; otherwise, it is constant. The model links the well studied predator-prey model with constant harvesting to that with a proportional harvesting rate. It is shown that when the net reproductive number for the predator is greater than unity, the system is permanent and there may exist multiple positive equilibria due to the effects of the switched harvest, a saddle-node bifurcation, a limit cycle, and the coexistence of a stable equilibrium and a unstable circled inside limit cycle and a stable circled outside limit cycle. When the net reproductive number is less than unity, a backward bifurcation from a positive equilibrium occurs, which implies that the stable predator-extinct equilibrium may coexist with two coexistence equilibria. In this situation, reducing the net reproductive number to less than unity is not enough to enable the predator to go extinct. Numerical simulations are provided to illustrate the theoretical results. It seems that the model possesses new complex dynamics compared to the existing harvesting models.
    Keywords predator-prey model ; switched harvest ; limit cycle ; rich dynamics ; Technology ; T ; Engineering (General). Civil engineering (General) ; TA1-2040 ; Biology (General) ; QH301-705.5 ; Physics ; QC1-999 ; Chemistry ; QD1-999
    Subject code 612
    Language English
    Publishing date 2016-05-01T00:00:00Z
    Publisher MDPI AG
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  8. Article ; Online: The Effect of Impulsive Vaccination on Delayed SEIRS Epidemic Model Incorporating Saturation Recovery

    Yongfeng Li / Dongliang Xie / Jing-an Cui

    Discrete Dynamics in Nature and Society, Vol

    2014  Volume 2014

    Keywords Social sciences (General) ; H1-99 ; Social Sciences ; H ; Mathematics ; QA1-939 ; Science ; Q
    Language English
    Publishing date 2014-01-01T00:00:00Z
    Publisher Hindawi Publishing Corporation
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  9. Article ; Online: The Effect of Continuous and Pulse Input Nutrient on a Lake Model

    Yongfeng Li / Dongliang Xie / Jing-An Cui

    Journal of Applied Mathematics, Vol

    2014  Volume 2014

    Keywords Mathematics ; QA1-939 ; Science ; Q
    Language English
    Publishing date 2014-01-01T00:00:00Z
    Publisher Hindawi Publishing Corporation
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  10. Article ; Online: Mathematical Analysis of a Cholera Model with Vaccination

    Jing'an Cui / Zhanmin Wu / Xueyong Zhou

    Journal of Applied Mathematics, Vol

    2014  Volume 2014

    Keywords Mathematics ; QA1-939 ; Science ; Q ; DOAJ:Mathematics ; DOAJ:Mathematics and Statistics
    Language English
    Publishing date 2014-01-01T00:00:00Z
    Publisher Hindawi Publishing Corporation
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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