Search Results - "Shuai, Zhisheng"

Asymptotic profiles of the steady states for an SIS epidemic patch model with asymmetric connectivity matrix by Chen, Shanshan, Shi, Junping, Shuai, Zhisheng, Wu, Yixiang

“…The dynamics of an SIS epidemic patch model with asymmetric connectivity matrix is analyzed. It is shown that the basic reproduction number R 0 is strictly…”
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GLOBAL STABILITY OF INFECTIOUS DISEASE MODELS USING LYAPUNOV FUNCTIONS by SHUAI, ZHISHENG, VAN DEN DRIESSCHE, P.

“…Two systematic methods are presented to guide the construction of Lyapunov functions for general infectious disease models and are thus applicable to establish…”
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Evolution of Dispersal in Advective Patchy Environments by Chen, Shanshan, Shi, Junping, Shuai, Zhisheng, Wu, Yixiang

“…We study a two-species competition model in a patchy advective environment, where the species are subject to both directional drift and undirectional random…”
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Global stability of multi-group epidemic models with distributed delays by Li, Michael Y., Shuai, Zhisheng, Wang, Chuncheng

“…We investigate a class of multi-group epidemic models with distributed delays. We establish that the global dynamics are completely determined by the basic…”
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A graph-theoretic approach to the method of global Lyapunov functions by Guo, Hongbin, Li, Michael Y., Shuai, Zhisheng

“…A class of global Lyapunov functions is revisited and used to resolve a long-standing open problem on the uniqueness and global stability of the endemic…”
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Dynamics of an age-of-infection cholera model by Brauer, Fred, Shuai, Zhisheng, van den Driessche, P

“…A new model for the dynamics of cholera is formulated that incorporates both the infection age of infectious individuals and biological age of pathogen in the…”
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Extending the type reproduction number to infectious disease control targeting contacts between types by Shuai, Zhisheng, Heesterbeek, J. A. P., van den Driessche, P.

“…A new quantity called the target reproduction number is defined to measure control strategies for infectious diseases with multiple host types such as…”
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A mathematical model of syphilis transmission in an MSM population by Saad-Roy, C.M., Shuai, Zhisheng, van den Driessche, P.

“…•A threshold control reproduction number for endemic syphilis is identified.•Model results quantify that early treatment is important to control syphilis in…”
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A mathematical model for Vibrio-phage interactions by Botelho, Christopher, Dzevela Kong, Jude, Ali Ber Lucien, Mentor, Shuai, Zhisheng, Wang, Hao

“…A cholera model has been formulated to incorporate the interaction of bacteria and phage. It is shown that there may exist three equilibria: one disease free…”
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Global-stability problem for coupled systems of differential equations on networks by Li, Michael Y., Shuai, Zhisheng

“…The global-stability problem of equilibria is investigated for coupled systems of differential equations on networks. Using results from graph theory, we…”
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Optimization problems for general simple population with n-impulsive harvest by Shuai, Zhisheng, Bai, Ling, Wang, Ke

“…In this paper, n-impulsive harvest problems of general simple population are discussed by models with Dirac function. The optimal impulsive harvest policies to…”
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Global dynamics of cholera models with differential infectivity by Shuai, Zhisheng, van den Driessche, P.

“…► Differential infectivity is included in an ODE cholera model. ► A basic reproduction number is determined giving a sharp threshold. ► Simulations illustrate…”
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Persistence and extinction of single population in a polluted environment by Zhan Li, Zhisheng Shuai, Ke Wang

“…In this paper, we consider the ODE system corresponding to a diffusive-convective model for the dynamics of a population living in a polluted environment…”
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A general theory for target reproduction numbers with applications to ecology and epidemiology by Lewis, Mark A., Shuai, Zhisheng, van den Driessche, P.

“…A general framework for threshold parameters in population dynamics is developed using the concept of target reproduction numbers. This framework identifies…”
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Impact of resource distributions on the competition of species in stream environment by Nguyen, Tung D., Wu, Yixiang, Tang, Tingting, Veprauskas, Amy, Zhou, Ying, Rouhani, Behzad Djafari, Shuai, Zhisheng

“…Our earlier work in Nguyen et al. (Maximizing metapopulation growth rate and biomass in stream networks. arXiv preprint arXiv:2306.05555 , 2023) shows that…”
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GLOBAL DYNAMICS OF A GENERAL CLASS OF MULTISTAGE MODELS FOR INFECTIOUS DISEASES by GUO, HONGBIN, LI, MICHAEL Y., SHUAI, ZHISHENG

“…We propose a general class of multistage epidemiological models that allow possible deterioration and amelioration between any two infected stages. The models…”
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A cholera model in a patchy environment with water and human movement by Eisenberg, Marisa C., Shuai, Zhisheng, Tien, Joseph H., van den Driessche, P.

“…•Both water and human movement are included in a multi-patch cholera model.•The basic reproduction number is determined and shown to give a sharp…”
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OPTIMAL IMPULSIVE HARVEST POLICY FOR AN AUTONOMOUS SYSTEM by Ling, Bai, 柏 靈, Zhisheng, Shuai, 帥智聖, Ke, Wang, 王 克

“…In this paper, we consider an autonomous model with impulsive harvest. We investigate the impulsive harvest policies for constant effort harvest and…”
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Modelling and control of cholera on networks with a common water source by Shuai, Zhisheng, van den Driessche, P.

“…A mathematical model is formulated for the transmission and spread of cholera in a heterogeneous host population that consists of several patches of…”
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Cholera Models with Hyperinfectivity and Temporary Immunity by Shuai, Zhisheng, Tien, Joseph H., van den Driessche, P.

“…A mathematical model for cholera is formulated that incorporates hyperinfectivity and temporary immunity using distributed delays. The basic reproduction…”
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