Contributed Session 3:  Modeling, Math Biology and Math Finance
On the Fitness of Nonlinear Diffusion in Competitive Systems Incorporating Perceptual Constraints
Youngseok Chang
Korea University
Korea
  Co-Author(s):    Inkyung Ahn, Wonhyung Choi
  Abstract:
 

This work investigates a Lotka-Volterra type competition model with nonlinear dispersal, which we refer to as starvation-driven-type diffusion (SDTD). It is well-known that, in a spatially heterogeneous environments, rapid diffusion can be disadvantageous for species survival in classical Lotka-Volterra competitive systems [Dockery et al., (1998)]. Additionally, species exhibiting starvation-driven diffusion (SDD), where diffusion depends on the ratio of population density to resource distribution, can achieve higher fitness compared to those with linear diffusion [Kim et al., (2013)]. In this study, we integrate perceptual constraints into the SDD diffusion mechanism, which is referred to as SDTD, and analyze population fitness based on perception. We also discuss the presence of the coexistence states.