A dynamic game approach to uninvadable strategies for biotrophic pathogens
DOI10.1007/s13235-019-00307-1zbMath1437.91089OpenAlexW2927112967WikidataQ128154813 ScholiaQ128154813MaRDI QIDQ2175364
Ivan Yegorov, Ludovic Mailleret, Fabien Halkett, Pierre Bernhard, Frédéric Grognard
Publication date: 29 April 2020
Published in: Dynamic Games and Applications (Search for Journal in Brave)
Full work available at URL: https://hal.inria.fr/hal-02147836/file/Yegorov_et_al_2019.pdf
finite-difference approximationresource allocationmethod of characteristicszero-sum differential gameHamilton-Jacobi-Isaacs equationstate-feedback controlbiotrophic pathogensuninvadable strategy
Epidemiology (92D30) Differential games (aspects of game theory) (91A23) Applications of game theory (91A80) Dynamic games (91A25)
Uses Software
Cites Work
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- The canonical equation of adaptive dynamics for life histories: from fitness-returns to selection gradients and Pontryagin's maximum principle
- Function-valued adaptive dynamics and optimal control theory
- Optimal growth schedule of pathogens within a host: Switching between lytic and latent cycles
- Evolutionary dynamics of the handicap principle: an example
- Kin selection and strong evolutionary stability of mutual help
- Differential games without pure strategy saddle-point solutions
- Differential games and applications. Proceedings of a workshop. Enschede 1977
- Saddle point for differential games with strongly convex-concave integrand
- Mathematical biology. Vol. 1: An introduction.
- The adaptive dynamics of function-valued traits
- Controlled Markov processes and viscosity solutions
- Axiomatic approach in differential games
- Existence of optimal open-loop strategies for a class of differential games
- Join Forces or Cheat: Evolutionary Analysis of a Consumer–Resource System
- Stable Numerical Schemes for Solving Hamilton–Jacobi–Bellman–Isaacs Equations
- Two approximations of solutions of Hamilton-Jacobi equations
- A note on semi-discrete modelling in the life sciences
- Evolutionarily Robust Strategies: Two Nontrivial Examples and a Theorem
- The Existence of Value and Saddle Point in Games of Fixed Duration
- High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations
- Existence of Saddle Points and Nash Equilibrium Points for Differential Games
- Differential Games
- The Logic of Animal Conflict
- On the Existence of Solutions to a Differential Game
- The existence of value in differential games
- Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics
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