A Lotka-Volterra competition model and its global convergence to a definite axial equilibrium.
We consider a four-species model based on competition and show that the whole four-species system collapses to a definite single species equilibrium at its carrying capacity. To do so, we use the results of Hirsch, Van Den Driessche and Zeeman, Hofbauer and Sigmund, and the product theorem of the Conley connection matrix theory by Mischaikow and Reineck.
Sikder
Asim
A
Department of Mathematics, The Ramkrishna Research Institute For Science, Calcutta 700008, India. asim2001@vsnl.net
D000818:Animals; D003163:Competitive Behavior; D004463:Ecology; D008954:Models, Biological