Costly defense traits in structured populations

Hutzenthaler, Martin; Jordan, Felix und Metzler, Dirk (2022): Costly defense traits in structured populations. In: Alea: Latin American Journal of Probability and Mathematical Statistics, Bd. 19: S. 1697-1752

Abstract

We propose a model for the dynamics of frequencies of a costly defense trait. More precisely, we consider Lotka Volterra-type models involving a prey (or host) population consisting of two types and a predator (or parasite) population, where one type of prey individuals - modeling carriers of a defense trait - is more effective in defending against the predators but has a weak reproductive disadvantage. Under certain assumptions we prove that the relative frequency of these defenders in the total prey population converges to spatially structured Wright-Fisher diffusions with frequency-dependent migration rates. For the many-demes limit (mean-field approximation) hereof, we show that the defense trait goes to fixation/extinction if and only if the selective disadvantage is smaller/larger than an explicit function of the ecological model parameters.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Biologie
• Themengebiete: 500 Naturwissenschaften und Mathematik > 570 Biowissenschaften; Biologie
• ISSN: 1980-0436
• Sprache: Englisch
• DFG: Gefördert durch die Deutsche Forschungsgemeinschaft (DFG) - 198501163