Analysis of a reaction-diffusion host-pathogen model with horizontal transmission

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:481

Article

Shi, Yan¹  Gao, Jianguo¹  Wang, Jinliang² 

[1] North Minzu Univ, Dept Math & Informat Sci, Yinchuan 750021, Peoples R China

[2] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Heilongjiang, Peoples R China

关键词: Host-pathogen;    Reaction-diffusion;    Global attractor;    Uniform persistence;    Basic reproduction number;   

DOI  :  10.1016/j.jmaa.2019.123481

来源: Elsevier

【 摘 要 】

In this paper, a diffusive host-pathogen model with horizontal transmission and heterogeneous parameters is proposed and analyzed. We first prove the global existence of solution and a global attractor of the model. We then give the threshold dynamics for extinction and persistence of the disease. Our result suggests that by adding horizontal transmission, even a homogeneous case, the basic reproduction number is larger than the case without horizontal transmission mechanism. This may lead to over-evaluating the threshold role of the basic reproduction number. Finally, we also carry out the bifurcation analysis of steady state solutions by considering disease-induced mortality as the main bifurcation parameter, and such results can help us better understanding how it affects the spatial pattern of the pathogen. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free