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Theses

Jeux dynamiques en écologie du comportement

Abstract : This thesis is inspired from a game occurring among insect parasitoids, which, competing for hosts via which they can reproduce, attack the progeny of their fellows. One refers to superparasitism. In many species, hosts are patchily distributed in the environment. The spatiotemporal framework of this game is thus that of the patch. Patch whose composition, in terms of healthy and parasitized hosts, evolves during the game, hence its dynamic component. First, we introduce dynamic games through an original result which deals with uncoupling Isaacs equations in two-player nonzero-sum differential games. It is illustrated by an example which addresses the conflict over parental care in monogamous species. Second, we revisit classical optimal foraging theory, which we extend to a game-theoretical framework. Arises a sequence of war of attrition, sometimes separated by respite periods. Finally, we address superparasitism as a differential game and it turns out that, this time, superparasitism does not necessarily lead to a war of attrition. It opens prospects both on the mathematical (singularities in nonzero-sum differential games) and biological sides (laboratory experiments).
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https://hal.inrae.fr/tel-02819237
Contributor : Migration Prodinra <>
Submitted on : Saturday, June 6, 2020 - 4:40:17 PM
Last modification on : Sunday, November 29, 2020 - 2:08:02 PM

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  • HAL Id : tel-02819237, version 1
  • PRODINRA : 20623

Citation

Frédéric Hamelin. Jeux dynamiques en écologie du comportement. Sciences du Vivant [q-bio]. Université Nice Sophia Antipolis, 2007. Français. ⟨tel-02819237⟩

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