一类带有饱和治愈率的SEIR格微分动力系统的行波解

doi:10.6040/j.issn.1671-9352.0.2023.188

Abstract

Abstract: In this paper, the existence of traveling wave solutions for a kind of discrete diffusion SEIR model with saturated recovery rate and bilinear occurrence rate is studied. Firstly, the existence of solutions for truncationproblem is proved by using the method of upper and lower solutions and the Schauder fixed point theorem; Secondly, it is proved by the limit method that when R0>1, c>c^*, the system has traveling wave solutions connecting the disease-free equilibrium point and the positive equilibrium point. Finally, the asymptotic behavior of traveling wave solution at infinity is proved.

Key words: saturated recovery rate, SEIR model, traveling wave solution, lattice differential equation

CLC Number:

O175

LI Aoyu. Traveling wave solutions of a class of SEIR lattice differential equations with saturated recovery rate[J].JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2025, 60(8): 106-115.

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Traveling wave solutions of a class of SEIR lattice differential equations with saturated recovery rate

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