Mathematical analysis of a cholera infection model with vaccination strategy

Xiaohong Tian, Rui Xu and Jiazhe Lin

Applied Mathematics and Computation, 2019, vol. 361, issue C, 517-535

Abstract: In this paper, a cholera infection model with vaccination strategy is investigated. By analyzing corresponding characteristic equations, the local stability of each of feasible equilibria is established. By means of Lyapunov functions and LaSalle’s invariance principle, it is proved that if the basic reproduction number is less than unity, the disease-free equilibrium is globally asymptotically stable. If the basic reproduction number is greater than unity, the endemic equilibrium is globally asymptotically stable. In addition, by using Pontryagin’s maximum principle, several reasonable optimal control strategies are suggested to the prevention and control of the cholera infection. Numerical simulations are carried out to illustrate the theoretical results.

Keywords: Cholera infection; Waning vaccine-induced immunity; Lyapunov function; Global stability; Optimal control (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:361:y:2019:i:c:p:517-535

DOI: 10.1016/j.amc.2019.05.055

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