Algal competition in a water column with excessive dioxide in the atmosphere.
This paper deals with a resource competition model of two algal species in a water column with excessive dioxide in the atmosphere. First, the uniqueness of positive steady state solutions to the single-species model with two resources is established by the application of the degree theory and the strong maximum principle for the cooperative system. Second, some asymptotic behavior of the single-species model is given by comparison principle and uniform persistence theory. Third, the coexistence solutions to the competition system of two species with two substitutable resources are obtained by global bifurcation theory, various estimates and the strong maximum principle for the cooperative system. Numerical simulations are used to illustrate the outcomes of coexistence and competitive exclusion.
College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, Shaanxi, 710119, People's Republic of China. niehua@snnu.edu.cn.
Hua
H
Nie
Department of Mathematics and National Center of Theoretical Science, National Tsing-Hua University, Hsinchu, Taiwan, 300, Republic of China.
Sze-Bi
SB
Hsu
Department of Biology and Program in Earth and Environmental Sciences, University of Texas at Arlington, Box 19498, Arlington, TX, 76019, USA.
J P
JP
Grover
D001272:Atmosphere / Q000737:chemistry; D000460:Chlorophyta / Q000502:physiology*; D003163:Competitive Behavior; D003198:Computer Simulation; D017753:Ecosystem; D008954:Models, Biological; D014867:Water / Q000737:chemistry
D014867:Water
Global bifurcation; Maximum principle for cooperative system; Steady state; Uniqueness; Water column