Spreading speeds in two reaction-diffusion models for Polio disease

被引：1
|
作者：
Wang, Xinjian [1 ]
Lin, Guo [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2023年 / 118卷
基金：
中国国家自然科学基金;
关键词：
Non-cooperative system; Cooperative irreducible system; Eigenvalue problem; Entire solutions; Stability; ASYMPTOTIC SPEED; TRAVELING-WAVES; LINEAR DETERMINACY; PROPAGATION; SYSTEMS; POPULATION; DYNAMICS; FARMERS;
D O I：
10.1016/j.cnsns.2022.107009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article studies the spreading properties of initial value problems for two Polio models with spatial diffusion. Considering the full interaction between the adult and the child classes, we obtain a unique spreading speed of two groups by constructing proper auxiliary systems. When the interaction between two groups is omitted, it is possible to observe different spreading-vanishing phenomena of two groups. In particular, when the disease spreads successfully, the spreading speeds of different groups are estimated. From these speeds, we can theoretically understand the factors that determine the spreading ability of the virus.
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页数：18
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