Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 487, Issue 1, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2020.123995
Keywords
Reaction-diffusion parabolic system; Traveling waves; Spreading speeds; Epidemic-model
Categories
Ask authors/readers for more resources
We consider an epidemic model with direct transmission given by a system of nonlinear partial differential equations and study the existence of traveling wave solutions. When the basic reproductive number of the considered model is less than one, we show that there is no nontrivial traveling wave solution. On the other hand, when the basic reproductive number is greater than one, we prove that there is a minimum wave speed c* such that the system has a traveling wave solution with speed c connecting both equilibrium points for any c >= c*. Moreover, under suitable assumption on the diffusion rates, we show that there is no traveling wave solution with speed less than c*. We conclude with numerical simulations to illustrate our findings. The numerical experiments support the validity of our theoretical results. (C) 2020 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available