The canonical equation of adaptive dynamics for life histories: from fitness-returns to selection gradients and Pontryagin’s maximum principle-Reference-Cited by-同舟云学术

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

Published:2015-11-19 Issue:4 Volume:72 Page:1125-1152
ISSN:0303-6812
Container-title:Journal of Mathematical Biology
language:en
Short-container-title:J. Math. Biol.

Author:

Metz Johan A. Jacob,Staňková Kateřina,Johansson Jacob

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Modeling and Simulation

Link

http://link.springer.com/content/pdf/10.1007/s00285-015-0938-4.pdf

Reference30 articles.

1. Bacaer N, Guernaoui S (2006) The epidemic threshold of vector-borne diseases with seasonality. J Math Biol 53:421-436

2. Bellman R (1957) Dynamic programming. Princeton University Press, Princeton

3. Champagnat N (2003) Convergence of adaptive dynamics n-morphic jump processes to the canonical equation and degenerate diffusion approximation. Tech. Rep. 03/7, Pr’épublication de l’Université de Nanterre, Paris X

4. Champagnat N, Méléard S (2011) Polymorphic evolution sequence and evolutionary branching. Probab Theory Relat Fields 151(1-2):45-94

5. Dercole F, Rinaldi S (2008) Analysis of evolutionary processes: the adaptive dynamics approach and its applications. Princeton, NJ

Cited by 22 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Eco-evolutionary dynamics of structured populations in periodically fluctuating environments: a G function approach;Theory in Biosciences;2024-08-21

2. A mathematical framework for evo-devo dynamics;Theoretical Population Biology;2024-02

3. Game Theory for Managing Evolving Systems: Challenges and Opportunities of Including Vector-Valued Strategies and Life-History Traits;Dynamic Games and Applications;2023-12

4. Stackelberg evolutionary game theory: how to manage evolving systems;Philosophical Transactions of the Royal Society B: Biological Sciences;2023-03-20

5. Evolutionary game theory and the adaptive dynamics approach: adaptation where individuals interact;Philosophical Transactions of the Royal Society B: Biological Sciences;2023-03-20