Competitive exclusion and coexistence phenomena of a two-strain SIS model on complex networks from global perspectives

Xiaoyan Wang; Junyuan Yang; Xiaofeng Luo

doi:10.1007/s12190-022-01712-3

Competitive exclusion and coexistence phenomena of a two-strain SIS model on complex networks from global perspectives

J Appl Math Comput. 2022;68(6):4415-4433. doi: 10.1007/s12190-022-01712-3. Epub 2022 Feb 16.

Authors

Xiaoyan Wang¹, Junyuan Yang^#^{2

3}, Xiaofeng Luo⁴

Affiliations

¹ School of Information, Shanxi University of Finance and Economics, Wucheng Road, Taiyuan, 030006 Shanxi China.
² Complex Systems Research Center, Shanxi University, Wucheng Road, Taiyuan, 030006 Shanxi China.
³ Shanxi Key Laboratory of Mathematical Techniques and Big Data Analysis on Disease Control and Prevention, Shanxi University, Wucheng Road, Taiyuan, 030006 Shanxi China.
⁴ School of Science, North University of China, Xueyuan Road, Taiyuan, 030051 Shanxi China.

^# Contributed equally.

Abstract

Genetic heterogeneity plays an important role in exploring the interplays of microorganisms. Competitive exclusion principle is the main principle that governs causative agentries of diseases competition. Identifying coexistence mechanisms is a core issue for studying the interactions of multi-strains. In this paper, we are concerned with the dynamics of a two-strain SIS epidemic model with general incidence rate on complex networks. We derive the basic reproduction numbers and the invasion reproduction numbers associated with each strain, which determine the competitive, exclusion and coexistence of the two strains. We strictly prove that the competitive exclusion principle holds in a global sense and the endemic equilibrium coexists uniquely and globally. Numerical examples visibly illustrate the evolution of the two strains.

Keywords: Competitive exclusion principle; Complex networks; Global perspectives.