Treatment outcome in an SI model with evolutionary resistance: a Darwinian model for the evolution of resistance
| Autor: | J. M. Cushing, Junpyo Park, Alex Farrell, Nakul Chitnis |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Journal of Biological Dynamics, Vol 17, Iss 1 (2023) |
| Druh dokumentu: | article |
| ISSN: | 17513758 1751-3766 1751-3758 |
| DOI: | 10.1080/17513758.2023.2255061 |
| Popis: | We consider a Darwinian (evolutionary game theoretic) version of a standard susceptible-infectious SI model in which the resistance of the disease causing pathogen to a treatment that prevents death to infected individuals is subject to evolutionary adaptation. We determine the existence and stability of all equilibria, both disease-free and endemic, and use the results to determine conditions under which the treatment will succeed or fail. Of particular interest are conditions under which a successful treatment in the absence of resistance adaptation (i.e. one that leads to a stable disease-free equilibrium) will succeed or fail when pathogen resistance is adaptive. These conditions are determined by the relative breadths of treatment effectiveness and infection transmission rate distributions as functions of pathogen resistance. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|