The effect of epidemics on genetic evolution
- 1 January 1984
- journal article
- research article
- Published by Springer Nature in Journal of Mathematical Biology
- Vol. 19 (1) , 79-94
- https://doi.org/10.1007/bf00275932
Abstract
Mathematical models of a vector-borne infectious disease acting on a host population consisting of three genotypes which differ in susceptibility to, recovery from, and death due to the disease are presented and analyzed. Singular perturbation techniques are used to obtain a single differential equation describing the slow time evolution of gene frequencies.Keywords
This publication has 9 references indexed in Scilit:
- The evolutionary effect of endemic infectious disease: Continuous models for an invariant pathogenJournal of Mathematical Biology, 1982
- Selection of Intermediate Rates of Increase in Parasite-Host SystemsThe American Naturalist, 1981
- Epidemics in competitionJournal of Mathematical Biology, 1981
- Sex and polymorphism as strategies in host-pathogen interactionsJournal of Theoretical Biology, 1980
- Predator influence on the growth of a population with three genotypesJournal of Mathematical Biology, 1978
- A Mathematical Model of Coevolving PopulationsThe American Naturalist, 1977
- Natural Selection for Resistance to EpidemicsEcology, 1975
- Singular perturbations on the infinite intervalTransactions of the American Mathematical Society, 1966
- Protection Afforded by Sickle-cell Trait Against Subtertian Malarial InfectionBMJ, 1954