Global dynamics of a stage-structured hantavirus infection model with seasonality
Articles
Junli Liu
Xi’an Polytechnic University
https://orcid.org/0000-0003-1157-028X
Tailei Zhang
Chang’an University
Published 2021-01-01
https://doi.org/10.15388/namc.2021.26.20949
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Keywords

hantavirus
seasonality
basic reproduction number
global attractivity
threshold dynamics

How to Cite

Liu J. and Zhang T. (2021) “Global dynamics of a stage-structured hantavirus infection model with seasonality”, Nonlinear Analysis: Modelling and Control, 26(1), pp. 21-40. doi: 10.15388/namc.2021.26.20949.

Abstract

In this paper, we study a time-periodic model, which incorporates seasonality and host stage-structure. This model describes the propagation of Puumala hantavirus within the bank vole population of Clethrionomys glareolus. The basic reproduction number R0 is obtained. By appealing to the theory of monotone dynamical systems and chain transitive sets, we establish a threshold-type result on the global dynamics in terms of R0, that is, the virus-free periodic solution is globally attractive, and the virus dies out if R0 ≤ 1, while there exists a unique positive periodic solution, which is globally attractive, and the virus persists if R0 > 1. Numerical simulations are given to confirm our theoretical results and to show that cleaning environment and controlling the grow of mice population are essential control strategies to reduce hantavirus infection.

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