2022/03/01 by Y. N. Trivedi, Trivedi, Yogesh, Ram B. Singh +3
Medicine · Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Mathematical and Theoretical Epidemiology and Ecology Models #Evolution and Genetic Dynamics #Advanced Thermodynamics and Statistical Mechanics
paper · pdf · doi:10.48550/arxiv.2203.00321
An Allee effect occurs when the per-capita growth rate increases at low densities. Here, we investigate the evolutionary stability of a partial migration population with migrant population experiencing Allee effects. Partial migration is a unique form of phenotypic diversity wherein migrant and non-migrant individuals coexist together. It is shown that when Allee effect is incorporated, the population undergoes a bifurcation as the fraction of migrating population increases from zero to unity. Using an evolutionary game theoretic approach, we prove the existence of a unique evolutionary stable strategy (ESS). It is also shown that the ESS is the only ideal free distribution (IFD) that arises in the context of partially migrating population.