Journal
JOURNAL OF NONLINEAR SCIENCE
Volume 31, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1007/s00332-020-09656-3
Keywords
Lattice dynamical system; Schauder's fixed point theorem; Traveling wave solutions; Diffusive epidemic model; Lyapunov functional; 35C07; 35K57; 92D30
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Funding
- Natural Science Foundation of China [11871179, 11771374]
- National Natural Science Foundation of China [11871179, 12071115]
- Natural Science Foundation of Heilongjiang Province [LC2018002, LH2019A021]
- Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems
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This paper examines the conditions of existence and nonexistence of traveling wave solutions for a class of discrete diffusive epidemic model. The existence of traveling wave solutions is determined by the basic reproduction number and critical wave speed.
This paper is concerned with the conditions of existence and nonexistence of traveling wave solutions (TWS) for a class of discrete diffusive epidemic model. We find that the existence of TWS is determined by the so-called basic reproduction number and the critical wave speed: When the basic reproduction number R0>1, there exists a critical wave speed c>0, such that for each c >= c the system admits a nontrivial TWS and for c
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