Volume 1, Issue 1
Advantage and Disadvantage of Dispersal in Two-Species Competition Models

Michael Winkler & Yuan Lou

CSIAM Trans. Appl. Math., 1 (2020), pp. 86-103.

Published online: 2020-03

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  • Abstract

We consider a two-species competition model in which both populations are identical except their movement strategies: One species moves upward along the fitness gradient, while the other does not diffuse. While both species can coexist in homogeneous environment, we show that the species with directed movement has some advantage over the non-diffusing species in certain measurement. In contrast, if one species moves by random dispersal while the other does not diffuse, then the non-diffusing population could have advantage. Understanding the full dynamics of these ODE-PDE hybrid systems poses challenging mathematical questions.

  • Keywords

Competition, diffusion, population dynamics.

  • AMS Subject Headings

35K57, 35Q92, 92D25

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

michael.winkler@math.uni-paderborn.de (Michael Winkler)

  • BibTex
  • RIS
  • TXT
@Article{CSIAM-AM-1-86, author = {Winkler , Michael and Lou , Yuan }, title = {Advantage and Disadvantage of Dispersal in Two-Species Competition Models}, journal = {CSIAM Transactions on Applied Mathematics}, year = {2020}, volume = {1}, number = {1}, pages = {86--103}, abstract = {

We consider a two-species competition model in which both populations are identical except their movement strategies: One species moves upward along the fitness gradient, while the other does not diffuse. While both species can coexist in homogeneous environment, we show that the species with directed movement has some advantage over the non-diffusing species in certain measurement. In contrast, if one species moves by random dispersal while the other does not diffuse, then the non-diffusing population could have advantage. Understanding the full dynamics of these ODE-PDE hybrid systems poses challenging mathematical questions.

}, issn = {2708-0579}, doi = {https://doi.org/10.4208/csiam-am.2020-0002}, url = {http://global-sci.org/intro/article_detail/csiam-am/16794.html} }
TY - JOUR T1 - Advantage and Disadvantage of Dispersal in Two-Species Competition Models AU - Winkler , Michael AU - Lou , Yuan JO - CSIAM Transactions on Applied Mathematics VL - 1 SP - 86 EP - 103 PY - 2020 DA - 2020/03 SN - 1 DO - http://doi.org/10.4208/csiam-am.2020-0002 UR - https://global-sci.org/intro/article_detail/csiam-am/16794.html KW - Competition, diffusion, population dynamics. AB -

We consider a two-species competition model in which both populations are identical except their movement strategies: One species moves upward along the fitness gradient, while the other does not diffuse. While both species can coexist in homogeneous environment, we show that the species with directed movement has some advantage over the non-diffusing species in certain measurement. In contrast, if one species moves by random dispersal while the other does not diffuse, then the non-diffusing population could have advantage. Understanding the full dynamics of these ODE-PDE hybrid systems poses challenging mathematical questions.

Michael Winkler & Yuan Lou. (2020). Advantage and Disadvantage of Dispersal in Two-Species Competition Models. CSIAM Transactions on Applied Mathematics. 1 (1). 86-103. doi:10.4208/csiam-am.2020-0002
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