The canonical equation of adaptive dynamics for life histories: from fitness-returns to selection gradients and Pontryagin's maximum principle

DOI10.1007/s00285-015-0938-4zbMath1365.92077OpenAlexW2176409316WikidataQ35846676 ScholiaQ35846676MaRDI QIDQ259252

Kateřina Staňková, Jacob Johansson, J. A. J. (Hans) Metz

Publication date: 11 March 2016

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

Full work available at URL: https://doi.org/10.1007/s00285-015-0938-4

zbMATH Keywords

Pontryagin's maximum principleage-dependent resource allocationcanonical equation of adaptive dynamicsevolution in periodic environmentsfunction valued traitsMendelian take on life history theory

Mathematics Subject Classification ID

Problems related to evolution (92D15) Applications of optimal control and differential games (49N90) Dynamical systems in biology (37N25) Ecology (92D40) Optimality conditions for problems involving ordinary differential equations (49K15)

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Linear dynamics of semigroups generated by differential operators ⋮ A dynamic game approach to uninvadable strategies for biotrophic pathogens ⋮ Evolutionary game theory: Darwinian dynamics and the \(G\) function approach ⋮ \textit{TPB} and the invasion of adaptive dynamics ⋮ Game theory for managing evolving systems: challenges and opportunities of including vector-valued strategies and life-history traits ⋮ A global asymptotic stability condition for a Lotka–Volterra model with indirect interactions ⋮ Coevolution of the reckless prey and the patient predator ⋮ Hamilton's rule, gradual evolution, and the optimal (feedback) control of phenotypically plastic traits

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