Strong solutions and instability for the fitness gradient system in evolutionary games between two populations
DOI10.1016/j.jde.2016.12.008zbMath1372.37137OpenAlexW2562381037MaRDI QIDQ505680
Chun Liu, Zhong Tan, Russ deForest, Qiuju Xu, Andrew Belmonte
Publication date: 26 January 2017
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2016.12.008
Applications of game theory (91A80) Dynamical systems in biology (37N25) Initial-boundary value problems for second-order parabolic equations (35K20) Population dynamics (general) (92D25) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65) Second-order parabolic systems (35K40) Strong solutions to PDEs (35D35)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A fitness-driven cross-diffusion system from population dynamics as a gradient flow
- Turing instability and traveling fronts for a nonlinear reaction-diffusion system with cross-diffusion
- Turing instability and pattern induced by cross-diffusion in a predator-prey system with Allee effect
- Movement toward better environments and the evolution of rapid diffusion
- Evolutionarily stable strategies and game dynamics
- Diffusion vs cross-diffusion: An elliptic approach
- A viscous approximation for a multidimensional unsteady Euler flow: Existence theorem for potential flow
- On the global existence of a cross-diffusion system
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Diffusion, self-diffusion and cross-diffusion
- Uniform boundedness and convergence of solutions to cross-diffusion systems
- Turing instability and stationary patterns in a predator-prey systems with nonlinear cross-diffusions
- Instability induced by cross-diffusion in reaction-diffusion systems
- Smooth solutions to a quasi-linear system of diffusion equations for a certain population model
- Global Existence and Uniform Boundedness of Smooth Solutions to a Cross-Diffusion System with Equal Diffusion Rates
- Spatial Ecology via Reaction‐Diffusion Equations
- The chemical basis of morphogenesis
- Dynamics of evolutionary equations
This page was built for publication: Strong solutions and instability for the fitness gradient system in evolutionary games between two populations