Time-asymptotic convergence rates towards the discrete evolutionary stable distribution

DOI10.1142/S0218202515500426zbMath1328.65268OpenAlexW1996270008MaRDI QIDQ5254040

Wenli Cai, Pierre-Emmanuel Jabin, Hai-liang Liu

Publication date: 8 June 2015

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202515500426

zbMATH Keywords

convergence ratesfinite volume methodrelative entropyinitial value problemsemidiscretizationpopulation dynamicsintegro-differential equationselection dynamicsevolutionary stable distribution

Mathematics Subject Classification ID

Problems related to evolution (92D15) Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Population dynamics (general) (92D25)

Related Items (6)

Dynamics of concentration in a population model structured by age and a phenotypical trait ⋮ An unconditionally positivity-preserving implicit-explicit scheme for evolutionary stable distribution model ⋮ Heterogeneous population dynamics of active particles: Progression, mutations, and selection dynamics ⋮ On a non-local selection–mutation model with a gradient flow structure ⋮ Selection-mutation dynamics with spatial dependence ⋮ Time-asymptotic convergence rates towards discrete steady states of a nonlocal selection-mutation model

Cites Work

• On selection dynamics for competitive interactions
• Local stability of evolutionary attractors for continuous structured populations
• On selection dynamics for continuous structured populations
• The dynamical theory of coevolution: A derivation from stochastic ecological processes
• Direct competition results from strong competition for limited resource
• Long time evolution of populations under selection and Vanishing mutations
• Evolutionary distributions and competition by way of reaction-diffusion and by way of convolution
• Unifying evolutionary dynamics: from individual stochastic processes to macroscopic models
• On the mathematical theory of post-Darwinian mutations, selection, and evolution
• Dirac Mass Dynamics in Multidimensional Nonlocal Parabolic Equations
• Pattern and Waves for a Model in Population Dynamics with Nonlocal Consumption of Resources
• From Individual Stochastic Processes to Macroscopic Models in Adaptive Evolution
• Dirac concentrations in Lotka-Volterra parabolic PDEs
• Population Formulation of Adaptative Meso-evolution: Theory and Numerics

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