Persistence and global stability in a predator-prey model consisting of three prey genotypes with fertility differences

DOI10.1007/BF02462318zbMath0624.92014OpenAlexW4244971646WikidataQ52653416 ScholiaQ52653416MaRDI QIDQ579161

Herb I. Freedman, Joseph W.-H. So

Publication date: 1986

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02462318

zbMATH Keywords

persistenceextinctionglobal asymptotic stabilitypredator-prey modelrandom matingfertility differencesgenotypesnonlinear birth and death processesnonpersistencepredator meditated persistenceprey gamete types

Mathematics Subject Classification ID

Applications of branching processes (60J85) Ecology (92D40) Genetics and epigenetics (92D10)

Related Items (7)

Analysis of a continuous one-locus, two-allele genetic model with genotypic fertility differences ⋮ Predator influence on the growth of a population with three genotypes. III. Persistence and extinction ⋮ The effects of immunity and resistance on the development of AIDS ⋮ Effects of genetic immunity and resistance on endemics ⋮ Disease emergence in deterministic and stochastic models for host and pathogen ⋮ Global stability and persistence of simple food chains ⋮ Selective mating in a continuous model of epistasis

Cites Work

• Unnamed Item
• Predator influence on the growth of a population with three genotypes. II
• The effect of epidemics on genetic evolution
• Coevolution: Mathematical analysis of host-parasite interactions
• Persistence in models of three interacting predator-prey populations
• Quasimonotone systems and convergence to equilibrium in a population genetic model
• Analysis of a continuous one-locus, two-allele genetic model with genotypic fertility differences
• Some results on global stability of a predator-prey system
• Global dynamics of a selection model for the growth of a population with genotypic fertility differences
• A model of the population genetics of cystic fibrosis in the United States
• Selection models with fertility differences
• On global stability of a predator-prey system
• Predator influence on the growth of a population with three genotypes

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