Stability of solutions of kinetic equations corresponding to the replicator dynamics

DOI10.3934/krm.2014.7.109zbMath1298.92072OpenAlexW2317447102MaRDI QIDQ2438146

Andrea Quartarone, Tatiana Ryabukha, Mirosław Lachowicz

Publication date: 10 March 2014

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2014.7.109

zbMATH Keywords

stabilityintegro-differential equationsreplicator equationmesoscopic models

Mathematics Subject Classification ID

Cites Work

• Equilibrium solutions for microscopic stochastic systems in population dynamics
• On a class of integro-differential equations modeling complex systems with nonlinear interactions
• A class of solutions for the hybrid kinetic model in the tumor-immune system competition
• Individually-based Markov processes modeling nonlinear systems in mathematical biology
• Local replicator dynamics: a simple link between deterministic and stochastic models of evolutionary game theory
• A general framework for modeling tumor-immune system competition at the mesoscopic level
• Multiscale problems in the life sciences. From microscopic to macroscopic. Lectures given at the Banach Center and C.I.M.E. joint summer school held in Bȩdlewo, Poland, September 4--9, 2006
• Metamodeling tumor-immune system interaction, tumor evasion and immunotherapy
• Delay-induced oscillatory dynamics of tumour-immune system interaction
• Evolutionarily stable strategies and game dynamics
• The importance of being discrete (and spatial)
• On the dynamics of social conflicts: looking for the black swan
• KINETIC LIMITS FOR PAIR-INTERACTION DRIVEN MASTER EQUATIONS AND BIOLOGICAL SWARM MODELS
• Evolutionary Games and Population Dynamics
• Evolutionary game dynamics
• NONLOCAL BILINEAR EQUATIONS: EQUILIBRIUM SOLUTIONS AND DIFFUSIVE LIMIT
• FROM THE MODELING OF THE IMMUNE HALLMARKS OF CANCER TO A BLACK SWAN IN BIOLOGY
• HYBRID TWO SCALES MATHEMATICAL TOOLS FOR ACTIVE PARTICLES MODELLING COMPLEX SYSTEMS WITH LEARNING HIDING DYNAMICS
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Stability of solutions of kinetic equations corresponding to the replicator dynamics