Nonmonotone invariant manifolds in the Nagylaki-Crow model

DOI10.1016/j.nonrwa.2017.11.011zbMath1386.34094OpenAlexW2774974458MaRDI QIDQ1698386

Belgin Seymenoglu, Stephen A. Baigent

Publication date: 15 February 2018

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2017.11.011

zbMATH Keywords

invariant manifoldspopulation geneticsNagylaki-Crow model

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Invariant manifolds for ordinary differential equations (34C45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (1)

Stable cycling in quasi-linkage equilibrium: fluctuating dynamics under gene conversion and selection

Cites Work

• Quasimonotone systems and convergence to equilibrium in a population genetic model
• Global dynamics of a selection model for the growth of a population with genotypic fertility differences
• Continuous selective models
• Selection models with fertility differences
• Approaches to the Hardy-Weinberg manifold
• Equilibria and dynamics of selection at a diallelic autosomal locus in the Nagylaki-Crow continuous model of a monoecious population
• Convexity-preserving flows of totally competitive planar Lotka–Volterra equations and the geometry of the carrying simplex
• Systems of differential equations which are competitive or cooperative: III. Competing species
• On the existence and uniqueness of connecting orbits for cooperative systems
• Evolutionary Games and Population Dynamics
• Smoothness of unordered curves in two-dimensional strongly competitive systems
• Geometry of carrying simplices of 3-species competitive Lotka–Volterra systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Nonmonotone invariant manifolds in the Nagylaki-Crow model