Salem Abdelmalek, Samir Bendoukha
Abstract:
In this article, we consider a spatially SVIR model of infectious disease
epidemics which allows for continuous immigration of all classes of
individuals. We show that the proposed model has a unique steady state that is
asymptotically stable. Using an appropriately constructed Lyapunov functional,
we establish its global asymptotic stability. Numerical results obtained
through Matlab simulations are presented to confirm the results.
Submitted May 10, 2016. Published October 24, 2016.
Math Subject Classifications: 35K45, 35K57.
Key Words: Reaction diffusion systems; SVIR; immigration; Lyapunov functional;
large time behavior.
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Salem Abdelmalek Department of mathematics University of Tebessa 12002, Algeria email: sallllm@gmail.com | |
Samir Bendoukha Electrical Engineering Department College of Engineering at Yanbu Taibah University, Saudi Arabia email: sbendoukha@taibahu.edu.sa |
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