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• W3149528006 abstract "We consider a stochastic individual based model where each predator searches and then manipulates its prey or rests during random times. The time distributions may be non-exponential and density dependent. An age structure allows to describe these interactions and get a Markovian setting. The process is characterized by a measure-valued stochastic differential equation. We prove averaging results in this infinite dimensional setting and get the convergence of the slow-fast macroscopic prey predator process to a two dimensional dynamical system. We recover classical functional responses. We also get new forms arising in particular when births and deaths of predators are affected by the lack of food." @default.
• W3149528006 created "2021-04-13" @default.
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• W3149528006 date "2023-06-07" @default.
• W3149528006 modified "2023-09-30" @default.
• W3149528006 title "From the distributions of times of interactions to preys and predators dynamical systems" @default.
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• W3149528006 doi "https://doi.org/10.1007/s00285-023-01925-5" @default.
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