A bifurcation theorem for nonlinear matrix models of population dynamics
From MaRDI portal
Publication:4959986
DOI10.1080/10236198.2019.1699916zbMath1437.39003OpenAlexW2996018904MaRDI QIDQ4959986
Alex P. Farrell, Jim M. Cushing
Publication date: 8 April 2020
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236198.2019.1699916
Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Dynamical aspects of attractors and their bifurcations (37G35) Stability theory for difference equations (39A30) Bifurcation theory for difference equations (39A28)
Related Items
A cubic nonlinear population growth model for single species: theory, an explicit-implicit solution algorithm and applications, A bifurcation theorem for Darwinian matrix models and an application to the evolution of reproductive life-history strategies
Cites Work
- Darwinian dynamics of a juvenile-adult model
- Three stage semelparous Leslie models
- A juvenile-adult model with periodic vital rates
- Evolutionary dynamics of a multi-trait semelparous model
- Competition between juveniles and adults in age-structured populations
- On Ebenman's model for the dynamics of a population with competing juveniles and adults
- Applications of Perron-Frobenius theory to population dynamics
- A bifurcation theorem for evolutionary matrix models with multiple traits
- Stable bifurcations in semelparous Leslie models
- NONLINEAR MATRIX MODELS AND POPULATION DYNAMICS
- Matrix Analysis
- Periodically forced nonlinear systems of difference equations
- Existence and stability of nontrivial periodic solutions of periodically forced discrete dynamical Systems
- A global bifurcation theorem for Darwinian matrix models
- SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS
- ON THE USE OF MATRICES IN CERTAIN POPULATION MATHEMATICS
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
