Geodesic
Trait Evolution in two–sex Populations
P. Zwoleński1
1 Institute of Mathematics, Polish Academy of Sciences Bankowa 14, 40–007 Katowice, Poland
Mathematical modelling of natural phenomena, Tome 10 (2015) no. 6, pp. 163-181.

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We present an individual–based model of phenotypic trait evolution in two–sex populations, which includes semi–random mating of individuals of the opposite sex, natural death and intra–specific competition. By passing the number of individuals to infinity, we derive the macroscopic system of nonlinear differential equations describing the evolution of trait distributions in male and female subpopulations. We study solutions, give criteria for persistence or extinction, and state a theorem on asymptotic stability, which we apply to particular examples of trait inheritance.
DOI : 10.1051/mmnp/20150611

P. Zwoleński 1

1 Institute of Mathematics, Polish Academy of Sciences Bankowa 14, 40–007 Katowice, Poland 
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P. Zwoleński. Trait Evolution in two–sex Populations. Mathematical modelling of natural phenomena, Tome 10 (2015) no. 6, pp. 163-181. doi : 10.1051/mmnp/20150611. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20150611/

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