Dynamic behaviors of a discrete Lotka-Volterra competitive system with the effect of toxic substances and feedback controls
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DOI: 10.1186/s13662-017-1130-5
Abstract: By noting the fact that the intrinsic growth rate are not positive everywhere, we revisit Lotka-Volterra competitive system with the effect of toxic substances and feedback controls. The corresponding results about permanence and extinction for… read more here.
Keywords: feedback controls; lotka volterra; competitive system; effect ... See more keywords
Stability analysis of a discrete competitive system with nonlinear interinhibition terms
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DOI: 10.1186/s13662-017-1362-4
Abstract: AbstractWe propose and study a discrete competitive system of the following form: x1(n+1)=x1(n)exp[r1−a1x1(n)−b1x2(n)1+c2x2(n)],x2(n+1)=x2(n)exp[r2−a2x2(n)−b2x1(n)1+c1x1(n)]. $$\begin{aligned} &x_{1}(n+1)=x_{1}(n)\exp{\biggl[r_{1}-a_{1}x_{1}(n)- \frac {b_{1}x_{2}(n)}{1+c_{2}x_{2}(n)}\biggr]}, \\ &x_{2}(n+1)=x_{2}(n)\exp{\biggl[r_{2}-a_{2}x_{2}(n)- \frac {b_{2}x_{1}(n)}{1+c_{1}x_{1}(n)}\biggr]}. \end{aligned}$$ We obtain some conditions for the local stability of the equilibria. Using the… read more here.
Keywords: stability analysis; discrete competitive; competitive system; stability ... See more keywords