Coexistence of the Strains Induced by Mutation

Abstract

In this paper, we propose a two strain epidemic model with single host population. It is assumed that strain one can mutate into strain two. Also latent-stage progression age and mutation are incorporated into the model. Stability of equilibria (including the disease free equilibrium, dominant equilibria and the coexistence equilibrium) is investigated and it is found that they are locally stable under suitable and biological feasible constraints. Results indicate that the competition exclusion and coexistence of the two strains are possible depending on the mutation. Numerical simulations are also performed to illustrate these results.

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

“…8.1.3 [25] and Theorem 6.10 in [18]. On the contrary, many mechanisms, such as mutation, coinfection, superinfection and nonlinear incidence etc., have been illustrated to lead to the coexistence phenomena for multi-strain models on homogeneous environments [11][12][13][14][15] or on complex networks [21,22,28]. Generally, the conditions of coexistence are tedious [21] or the proof process is vague [22].…”

“…Martcheva and her collaborators [9,10] investigated a multi-strain vector-borne disease model and a multi-strain flu model and both of them serve as that competitive exclusion results. On the contrary, many scholars are conducted to digging out some mechanisms, such as mutation [11], superinfection [12], cross-immunity [13], and nonlinear incidence rate [14], etc., to make multiple strains coexist.…”

Optimal Control in Two Strain Pneumonia Transmission Dynamics

“…Therefore, the coexistence equilibria such that the possible ultimate outcomes are either coexistence of the two strains or competitive dominance of the drug-resistant strain. Genetic changes alone can give a competitive advantage to drug-resistant strain [28]. The presence of a coexistence equilibrium depends on the invasion reproduction number.…”

“…The invasion reproduction number of the drug-sensitive (drug-resistant) strain is the number of the secondary infection that one individual infected with drug-sensitive (drug-resistant) strain will generate in a population in which the drug-resistant (drug sensitive) strain is at equilibrium [29]. Using the approach by [28], we present the invasion reproduction number of the drug-sensitive strain as…”