Pathogen coexistence induced by saturating contact rates

作者：Li, Xue Zhi^*; Duan, Xi Chao; Ghosh, Mini; Ruan, Xiu Ying

来源：Nonlinear Analysis: Real World Applications , 2009, 10(5): 3298-3311.

DOI：10.1016/j.nonrwa.2008.10.038

• Two-strain epidemic model
• Saturating contact rate
• Invasion reproduction number
• Competitive exclusion principle
• Coexistence equilibrium

In this paper, a two-strain epidemic model with saturating contact rates is considered. It is shown that if the social activity of infected individuals does not vary with strains, then the competitive exclusion principle holds; if the social activity of infected individuals varies with different strains, the coexistence of pathogens is possible under a certain condition which involves the invasion reproduction numbers. The stability of the dominance equilibria and coexistence equilibrium is also examined. Numerical simulations are presented to illustrate the results.

• 出版日期2009-10
• 单位信阳师范学院