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Spatial transmission and risk assessment of West Nile virus on a growing domain
  • Liqiong Pu,
  • Zhigui Lin
Liqiong Pu
Yangzhou University
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Zhigui Lin
Yangzhou University
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Abstract

This paper is concerned with a West Nile virus (WNv) model on a growing domain, which accounts for habitat expansion of mosquitoes because of climate warming. We aim to understand the relationship of the growing rate and the transmission risk of WNv. The basic reproduction number, which is related to the growing rate and diffusion rate, is introduced through spectral theory. The conditions to determine whether the virus vanishes or spreads are deduced.The obtained results reveal that domain growth leads to increased risk of infection, and is detrimental to the control and prevention of WNv. To verify the feasibility of our analytical results on the long time behavior of WNv, some numerical simulations are given.

Peer review status:Published

26 Aug 2020Submitted to Mathematical Methods in the Applied Sciences
27 Aug 2020Submission Checks Completed
27 Aug 2020Assigned to Editor
31 Aug 2020Reviewer(s) Assigned
10 Dec 2020Review(s) Completed, Editorial Evaluation Pending
11 Dec 2020Editorial Decision: Revise Minor
20 Dec 20201st Revision Received
20 Dec 2020Submission Checks Completed
20 Dec 2020Assigned to Editor
20 Dec 2020Editorial Decision: Accept
11 Jan 2021Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.7171