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The influence of infectious diseases on population genetics

1. Department of Mathematics, Purdue University, West Lafayette, IN 47907
2. Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287

## Abstract    Related pages

Malaria is the vector-transmitted disease that causes the highest morbidity and mortality in humans. Motivated by the known influence of sickle-cell anemia on the morbidity and mortality of malaria-infected humans, we study the effect of malaria on the genetic composition of a host (human) population where sickle-cell anemia is prevalent and malaria is endemic. The host subpopulations are therefore classified according to three genotypes, $A$$A, AS, and SS. It is known that A$$A$ malaria-infected individuals experience higher malaria-induced mortality than $AS$ or $SS$ individuals. However, individuals carrying the $S$ gene are known to experience a higher mortality rate in a malaria-free environment than those who lack such a gene. The tradeoffs between increased fitness for some types in the presence of disease (a population level process) and reduced fitness in a disease-free environment are explored in this manuscript. We start from the published results of an earlier model and proceed to remove some model restrictions in order to better understand the impact on the natural hosts' genetics in an environment where malaria is endemic.
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Citation: Zhilan Feng, Carlos Castillo-Chavez. The influence of infectious diseases on population genetics. Mathematical Biosciences and Engineering, 2006, 3(3): 467-483. doi: 10.3934/mbe.2006.3.467

• 1. DM Munroe, EN Powell, SE Ford, EE Hofmann, JM Klinck, Outcomes of asymmetric selection pressure and larval dispersal on evolution of disease resistance: a metapopulation modeling study with oysters, Marine Ecology Progress Series, 2015, 531, 221, 10.3354/meps11349
• 2. Eunha Shim, Zhilan Feng, Carlos Castillo-Chavez, Differential impact of sickle cell trait on symptomatic and asymptomatic malaria, Mathematical Biosciences and Engineering, 2012, 9, 4, 877, 10.3934/mbe.2012.9.877
• 3. Baojun Song, Zhilan Feng, Gerardo Chowell, From the guest editors, Mathematical Biosciences and Engineering, 2013, 10, 5/6, 10.3934/mbe.2013.10.5i
• 4. Eric N. Powell, John M. Klinck, Ximing Guo, Susan E. Ford, David Bushek, The Potential for Oysters,Crassostrea virginica, to Develop Resistance to Dermo Disease in the Field: Evaluation using a Gene-Based Population Dynamics Model, Journal of Shellfish Research, 2011, 30, 3, 685, 10.2983/035.030.0310
• 5. Mohammed M. Nooh, Suba Nookala, Rita Kansal, Malak Kotb, Individual Genetic Variations Directly Effect Polarization of Cytokine Responses to Superantigens Associated with Streptococcal Sepsis: Implications for Customized Patient Care, The Journal of Immunology, 2011, 186, 5, 3156, 10.4049/jimmunol.1002057
• 6. Carlos W. Castillo-Garsow, Carlos Castillo-Chavez, , An Introduction to Undergraduate Research in Computational and Mathematical Biology, 2020, Chapter 2, 87, 10.1007/978-3-030-33645-5_2