Irreversible prey diapause as an optimal strategy of a physiologically extended Lotka-Volterra model
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Publication:1944641
DOI10.1007/s00285-012-0599-5zbMath1260.49046OpenAlexW2052369852WikidataQ44884051 ScholiaQ44884051MaRDI QIDQ1944641
Alessandro Abate, Kateřina Staňková, Maurice W. Sabelis
Publication date: 26 March 2013
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-012-0599-5
Dynamic programming in optimal control and differential games (49L20) Control/observation systems governed by ordinary differential equations (93C15) General biology and biomathematics (92B05)
Related Items (4)
Uniform global asymptotic stability of time-varying Lotka-Volterra predator-prey systems ⋮ Coexistence of competing consumers on a single resource in a hybrid model ⋮ Towards the construction of a mathematically rigorous framework for the modelling of evolutionary fitness ⋮ Plastic energy allocation toward life-history functions in a consumer-resource interaction. Analyzing the temporal patterns of the consumer-resource dynamics
Cites Work
- Life history implications of allocation to growth versus reproduction in dynamic energy budgets
- Boundary singularities and characteristics of Hamilton-Jacobi equation
- Necessary and sufficient conditions for the existence of an optimisation principle in evolution
- Optimal control of a prey-predator system
- Necessary optimality conditions for a singular surface in the form of synthesis
- Global behavior of \(n\)-dimensional Lotka-Volterra systems
- A predator-prey model with optimal suppression of reproduction in the prey
- Richard Bellman on the Birth of Dynamic Programming
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