Work

Unidirectional Wave Propagation in a Nonlocal Dispersal Endemic Model With Nonlinear Incidence

Year: 2025

Type: article

Abstract: This paper is concerned with existence and non-existence of traveling wave solutions in a nonlocal dispersal endemic model with nonlinear incidence. With the aid of upper-lower solutions method and Schauder's fixed point theorem together with Lyapunov functional technique, we derive the existence of super-critical and critical traveling wave solutions connecting disease-free equilibrium to endemic equilibrium. In a combination with the theory of two-sided Laplace transform and local skilled analysis, we obtain the non-existence of sub-critical traveling wave solutions. Our results illustrate that: (ⅰ) the existence and non-existence of traveling waves are determined by the basic reproduction number and the wave speed; (ⅱ) the critical wave speed is equal to the minimal wave speed; (ⅲ) the traveling waves only propagate along one direction.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240115

Authors: Jingdong Wei, Jiahe Li, Zaili Zhen, Jiangbo Zhou, Minjie Dong

Institutions: Jiangsu University, Nanjing Tech University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Jiangsu University, Government of Jiangsu Province, Natural Science Foundation of Jiangsu Province

Awards: G2742271333, G3502541188