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Volume 1, Issue 2
Ideal Free Distribution in Two Patches

Yuan Lou

DOI: 10.12150/jnma.2019.151

J. Nonl. Mod. Anal., 1 (2019), pp. 151-166.

Published online: 2021-04

[An open-access article; the PDF is free to any online user.]

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  • Abstract

In this survey we discuss some recent progress on the ideal free distribution theory in patch models, with the emphasis on two patches. We show that dispersal strategies leading to the ideal free distributions of organisms are generally evolutionarily stable. We will also study the existence of evolutionarily stable dispersal strategies when dispersal strategies do not lead to the ideal free distributions. Applications to some river models are given.

  • Keywords

Ideal free distribution, population dynamics, competition, patch model, evolutionarily stable strategy.

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COPYRIGHT: © Global Science Press

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@Article{JNMA-1-151, author = {Lou , Yuan}, title = {Ideal Free Distribution in Two Patches}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {1}, number = {2}, pages = {151--166}, abstract = {

In this survey we discuss some recent progress on the ideal free distribution theory in patch models, with the emphasis on two patches. We show that dispersal strategies leading to the ideal free distributions of organisms are generally evolutionarily stable. We will also study the existence of evolutionarily stable dispersal strategies when dispersal strategies do not lead to the ideal free distributions. Applications to some river models are given.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2019.151}, url = {http://global-sci.org/intro/article_detail/jnma/18854.html} }
TY - JOUR T1 - Ideal Free Distribution in Two Patches AU - Lou , Yuan JO - Journal of Nonlinear Modeling and Analysis VL - 2 SP - 151 EP - 166 PY - 2021 DA - 2021/04 SN - 1 DO - http://doi.org/10.12150/jnma.2019.151 UR - https://global-sci.org/intro/article_detail/jnma/18854.html KW - Ideal free distribution, population dynamics, competition, patch model, evolutionarily stable strategy. AB -

In this survey we discuss some recent progress on the ideal free distribution theory in patch models, with the emphasis on two patches. We show that dispersal strategies leading to the ideal free distributions of organisms are generally evolutionarily stable. We will also study the existence of evolutionarily stable dispersal strategies when dispersal strategies do not lead to the ideal free distributions. Applications to some river models are given.

Lou , Yuan. (2021). Ideal Free Distribution in Two Patches. Journal of Nonlinear Modeling and Analysis. 1 (2). 151-166. doi:10.12150/jnma.2019.151
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