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Dynamical analysis of Adaptive Dispersals I: Responses to Competition Pressure
Wang Wendi *
School of Mathematics and Statistics, Southwest University, Chongqing 400715
*Correspondence author
#Submitted by
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Funding: NSF of China （No.11171276）, Fund of Chinese Education Minister for PhD Supervisor （No.20100182110003）
Opened online: 5 September 2013
Accepted by: none
Citation: Wang Wendi.Dynamical analysis of Adaptive Dispersals I: Responses to Competition Pressure[OL]. [ 5 September 2013] http://en.paper.edu.cn/en_releasepaper/content/4557153
 
 
The mathematical model of adaptive dispersals for mutant individualsis proposed to simulate the phenomenon that biological individuals migrate to responseto habitat quality. Using the regular and singular perturbation techniques, we findstrategies by which mutant individuals win or lose the competition with resident individuals through evolutionary migrations. The conditions for the coexistence of mutantindividuals and resident individuals are also established on the basis of persistence theory.
Keywords:Adaptation; Dispersal; Coexistence; Extinction; Perturbation
 
 
 

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