Competition for space in a heterogeneous environment |
| |
Authors: | T. Namba |
| |
Affiliation: | (1) School of Commerce, Senshu University, 2-1-1, Higashi-Mita, Tama-ku, 214 Kawasaki, Japan |
| |
Abstract: | We consider effects of competition for space in a heterogeneous environment, making use of nonlinear interaction-diffusion equations. Competition for space is assumed to mean mutual repulsive interactions that force other individuals to disperse from a crowded region. In other words, we are concerned with density-dependent dispersal forced by population pressures. Spatial heterogeneity is incorporated in the growth rates, and the environment is assumed to have a favorable habitat for two populations surrounded by largely hostile regions. Space-independent migration rates are assumed. We ignore the usual density-dependence in the growth rates to focus our attention on density-dependence in the migration rates. Our main conclusion is that two populations can coexist if the interspecific repulsive forces are weaker than the intraspecific ones. It is also emphasized that density-dependent dispersal in a heterogeneous environment is not always a stabilizing agent, and that either of two populations may become extinct by competition for space. Finally, the resemblance of our results to those from Lotka-Volterra competition equations is suggested. |
| |
Keywords: | Competition for space Heterogeneous environment Density-dependent dispersal Nonlinear diffusion Repulsive forces |
本文献已被 SpringerLink 等数据库收录! |
|