Stochastic eco-evolutionary model of a prey-predator community

DOI10.1007/s00285-015-0895-yzbMath1335.60159arXiv1407.3069OpenAlexW2097565107WikidataQ46725064 ScholiaQ46725064MaRDI QIDQ2634745

Nicolas Loeuille, Céline Hauzy, Manon Costa, Sylvie Méléard

Publication date: 18 February 2016

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.3069

zbMATH Keywords

dynamical systemsLotka-Volterra equationsadaptive dynamicspolymorphic evolution sequencepredator-prey communityMarkovian jump processmulti-type birth-and-death processmutation selection process

Mathematics Subject Classification ID

Related Items (9)

Multidimensionality of plant defenses and herbivore niches: implications for eco-evolutionary dynamics ⋮ Reliability analysis of a class of stochastically excited nonlinear Markovian jump systems ⋮ Variation in environmental stochasticity dramatically affects viability and extinction time in a predator-prey system with high prey group cohesion ⋮ Scaling limit of an adaptive contact process ⋮ Parameter estimation and treatment optimization in a stochastic model for immunotherapy of cancer ⋮ A stochastic model for speciation by mating preferences ⋮ Convergence of an infinite dimensional stochastic process to a spatially structured trait substitution sequence ⋮ Autonomous population regulation using a multi-agent system in a prey-predator model that integrates cellular automata and the African buffalo optimization metaheuristic ⋮ Virus-immune dynamics determined by prey-predator interaction network and epistasis in viral fitness landscape

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