STATIONARY SOLUTIONS OF A SELECTION MUTATION MODEL: THE PURE MUTATION CASE

DOI10.1142/S0218202505000637zbMath1081.92029OpenAlexW1989693051MaRDI QIDQ3370633

Sílvia Cuadrado, Àngel Calsina

Publication date: 8 February 2006

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

Full work available at URL: https://doi.org/10.1142/s0218202505000637

zbMATH Keywords

stationary solutionsevolutionarily stable strategy

Mathematics Subject Classification ID

Problems related to evolution (92D15) Integro-partial differential equations (45K05) Population dynamics (general) (92D25) Applications of operator theory in chemistry and life sciences (47N60)

Related Items (13)

Asymptotic stability of equilibria of selection-mutation equations ⋮ Asymptotic and transient behaviour for a nonlocal problem arising in population genetics ⋮ Mass concentration in a nonlocal model of clonal selection ⋮ Adaptive dynamics via Hamilton-Jacobi approach and entropy methods for a juvenile-adult model ⋮ On a non-local selection–mutation model with a gradient flow structure ⋮ Asymptotic analysis of selection-mutation models in the presence of multiple fitness peaks ⋮ Global optimization for possibly time-dependent cost functions by a population set-based algorithm with births control ⋮ Slow convergence to equilibrium for an evolutionary epidemiology integro-differential system ⋮ Concentration phenomenon in some non-local equation ⋮ Concentration estimates in a multi-host epidemiological model structured by phenotypic traits ⋮ Equilibria of a predator prey model of phenotype evolution ⋮ Persistence and global stability in a selection–mutation size-structured model ⋮ Local asymptotic stability of a system of integro-differential equations describing clonal evolution of a self-renewing cell population under mutation

Cites Work

• Unnamed Item
• Unnamed Item
• Steady-state analysis of structured population models
• Semigroups of linear operators and applications to partial differential equations
• One-parameter semigroups of positive operators
• Perturbations of positive semigroups and applications to population genetics
• Small mutation rate and evolutionarily stable strategies in infinite dimensional adaptive dynam\-ics
• Non-local reaction-diffusion equations modelling predator-prey coevolution
• A short proof for the stability theorem for positive semigroups on 𝐿_{𝑝}(𝜇)
• SURVIVAL OF THE FITTEST IN A GENERALIZED LOGISTIC MODEL
• Equations for biological evolution
• Stationary distributions under mutation-selection balance: structure and properties
• The Logic of Animal Conflict
• A stochastic model concerning the maintenance of genetic variability in quantitative characters.

This page was built for publication: STATIONARY SOLUTIONS OF A SELECTION MUTATION MODEL: THE PURE MUTATION CASE