A Mathematical Model for Alternation of Polygamy and Parthenogenesis: Stability Versus Efficiency and Analogy with Parasitism
| Autor: | Jean-Pierre Françoise, Philippe Lherminier, Evariste Sanchez-Palencia |
|---|---|
| Přispěvatelé: | Laboratoire de modélisation en mécanique (LMM), Centre National de la Recherche Scientifique (CNRS)-Université Pierre et Marie Curie - Paris 6 (UPMC), Laboratoire Jacques-Louis Lions (LJLL), Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS), Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS) |
| Rok vydání: | 2016 |
| Předmět: |
0106 biological sciences
Male Offspring media_common.quotation_subject [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] Population Parthenogenesis Population Dynamics Analogy Parasitism Biology 010603 evolutionary biology 01 natural sciences General Biochemistry Genetics and Molecular Biology Host-Parasite Interactions Animals Humans Marriage education Symbiosis General Environmental Science media_common education.field_of_study Applied Mathematics Small number Reproduction General Medicine Models Theoretical Adaptation Physiological Biological Evolution Sexual reproduction Philosophy Evolutionary biology Female General Agricultural and Biological Sciences 010606 plant biology & botany Demography |
| Zdroj: | Acta Biotheoretica Acta Biotheoretica, Springer Verlag, 2016, 64 (4), pp.537-552. ⟨10.1007/s10441-016-9293-0⟩ Acta Biotheoretica, 2016, 64 (4), pp.537-552. ⟨10.1007/s10441-016-9293-0⟩ |
| ISSN: | 1572-8358 0001-5342 |
| Popis: | International audience; The present work is a contribution to the understanding of the sempiternal problem of the “burden of factor two” implied by sexual reproduction versus asexual one, as males are energy consumers not contributing to the production of offspring. We construct a deterministic mathematical model in population dynamics where a species enjoys both sexual and parthenogenetic capabilities of reproduction and lives on a limited resource. We then show how polygamy implies instability of a parthenogenetic population with a small number of sexually born males. This instability implies evolution of the system towards an attractor involving both (sexual and asexual) populations (which does not imply optimality of the population). We also exhibit the analogy with a parasite/host system. |
| Databáze: | OpenAIRE |
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