2010/07/05 by Masahiro Anazawa, Anazawa, Masahiro
Biochemistry, Genetics and Molecular Biology · Medicine · Social Sciences · #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #FOS: Biological sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Populations and Evolution (q-bio.PE) #q-bio.PE
paper · pdf · doi:10.48550/arxiv.1007.0622
20 pages, 4 figures
arxiv created 2010/07/05 · openalex publication_date 2010/07/05 · arxiv updated 2010/07/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This study investigates the effect of competition between individuals on population dynamics when they compete for different resources during different seasons or during different growth stages. Individuals are assumed to compete for a single resource during each of these periods according to one of the following competition types: scramble, contest, or an intermediate between the two. The effect of two successive competition periods is determined to be expressed by simple relations on products of two "transition matrices" for various sets of competition types for the two periods. In particular, for the scramble and contest competition combination, results vary widely depending on the order of the two competition types. Furthermore, the stability properties of derived population models as well as the effect of more than two successive competition periods are discussed.