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NCTS Seminar on Mathematical Biology
 
10:00 - 11:30, December 23, 2022 (Friday)
Cisco Webex, Online seminar
(線上演講 Cisco Webex)
Threshold Dynamics of a Nonlocal and Delayed Cholera Model in a Spatially Heterogeneous Environment
Xiang-Sheng Wang (University of Louisiana at Lafayette)

Abstract

A nonlocal and delayed cholera model with two transmission mechanisms in a spatially heterogeneous environment is derived. We introduce two basic reproduction numbers, one is for the bacterium in the environment and the other is for the cholera disease in the host population. If the basic reproduction number for the cholera bacterium in the environment is strictly less than one and the basic reproduction number of infection is no more than one, we prove globally asymptotically stability of the infection-free steady state. Otherwise, the infection will persist and there exists at least one endemic steady state. For the special homogeneous case, the endemic steady state is actually unique and globally asymptotically stable. Under some conditions, the basic reproduction number of infection is strictly decreasing with respect to the diffusion coefficients of cholera bacteria and infectious hosts. When these conditions are violated, numerical simulation suggests that spatial diffusion may not only spread the infection from high-risk region to low-risk region, but also increase the infection level in high-risk region.

WebEx Link: https://nationaltaiwanuniversity-ksz.my.webex.com/nationaltaiwanuniversity-ksz.my/j.php?MTID=m59d5ac9cd3c159f138a558ad8da4f392

Meeting number (access code): 2516 313 4463
Meeting password: ZgAejymx235


 

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