title: Evolution of Dispersal with Starvation Measure and Coexistence.
abstract: Many biological species increase their dispersal rate if starvation starts. To model such a behavior, we need to understand how organisms measure starvation and response to it. In this paper, we compare three different ways of measuring starvation by applying them to starvation-driven diffusion. The evolutional selection and coexistence of such starvation measures are studied within the context of Lotka-Volterra-type competition model of two species. We will see that, if species have different starvation measures and different motility functions, both the coexistence and selection are possible.
authors.affiliation: National Institute for Mathematical Sciences, 70 Yuseong-daero 1689 beon-gil, Yuseong-gu, Daejeon, 34047, Korea. yongkim@kaist.edu.|Department of Mathematical Sciences, KAIST, 291 Daehak-ro, Yuseong-gu, Daejeon, 305-701, Korea. yongkim@kaist.edu.
authors.forename: Yong-Jung
authors.initials: YJ
authors.lastname: Kim
authors.affiliation: Department of Mathematics, Chungbuk National University, Chungdae-ro 1, Seowon-gu, Cheongju, Chungbuk, 362-763, Korea. ohsangkwon@chungbuk.ac.kr.
authors.forename: Ohsang
authors.initials: O
authors.lastname: Kwon
mesh_terms: D000818:Animals; D005075:Biological Evolution; D003198:Computer Simulation; D017753:Ecosystem; D016014:Linear Models; D055641:Mathematical Concepts; D008954:Models, Biological; D011157:Population Dynamics; D013217:Starvation
keywords: Coexistence; Evolutional selection; Global asymptotic stability; Linear stability; Starvation driven diffusion