Predator influence on the growth of a population with three genotypes. III. Persistence and extinction
DOI10.1016/0022-247X(87)90231-9zbMath0634.92009WikidataQ115599957 ScholiaQ115599957MaRDI QIDQ1097193
Paul Waltman, Joseph W.-H. So, Herb I. Freedman
Publication date: 1987
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
bifurcationpersistenceextinctionomega limit setsFloquet theorypredator-prey modelcenter manifoldsthree-dimensional invariant manifoldnonlinear system of ordinary differential equationsheterozygote predationhomozygous populationperiodic asymptotically stable solutionspositive boundedness of the solutionsthree genotypestwo alleles at a single locus
Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Genetics and epigenetics (92D10)
Cites Work
- Unnamed Item
- Unnamed Item
- Persistence and global stability in a predator-prey model consisting of three prey genotypes with fertility differences
- 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
- Persistence in a model of three competitive populations
- Analysis of a continuous one-locus, two-allele genetic model with genotypic fertility differences
- Some results on global stability of a predator-prey system
- Bifurcation from a limit cycle in a two predator-one prey ecosystem modeled on a chemostat
- 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
- The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
- On global stability of a predator-prey system
- Topological equivalence of normally hyperbolic dynamical systems
- Predator influence on the growth of a population with three genotypes
- Coexistence of competing predators in a chemostat
- On the nature of turbulence
- Uniformly Persistent Systems
- Persistence in dynamical systems
This page was built for publication: Predator influence on the growth of a population with three genotypes. III. Persistence and extinction
