Global attractivity of a two-species competitive system with nonlinear inter-inhibition terms
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Baoguo Chen
- Research Center for Science Technology and Society, Fuzhou University of International Studies and Trade Fuzhou, Fujian, 350202, P. R. China.
Abstract
Sufficient conditions are obtained for the global attractivity of the positive equilibrium and boundary equilibria of the following two-species competitive system with nonlinear inter-inhibition terms
\[\frac{dy_1(t)}{dt}=y_1(t)\left[r_1-a_1y_1-\frac{b_1y_2}{1+y_2}\right],\]
\[\frac{dy_2(t)}{dt}=y_2(t)\left[r_2-a_2y_2-\frac{b_2y_1}{1+y_1}\right],\]
where \(r_i, a_i, b_i, i = 1, 2\) are all positive constants. Our result shows that conditions which ensure the
permanence of the system are almost enough to ensure the global stability of the system. The results
not only improve but also complement the main results of Wang et al. [Q. L. Wang, Z. J. Liu, Z. X.
Li, R. A. Cheke, Int. J. Biomath., 7 (2014), 18 pages].
Share and Cite
ISRP Style
Baoguo Chen, Global attractivity of a two-species competitive system with nonlinear inter-inhibition terms, Journal of Mathematics and Computer Science, 16 (2016), no. 4, 481-494
AMA Style
Chen Baoguo, Global attractivity of a two-species competitive system with nonlinear inter-inhibition terms. J Math Comput SCI-JM. (2016); 16(4):481-494
Chicago/Turabian Style
Chen, Baoguo. "Global attractivity of a two-species competitive system with nonlinear inter-inhibition terms." Journal of Mathematics and Computer Science, 16, no. 4 (2016): 481-494
Keywords
- Competition
- nonlinear inter-inhibition terms
- global attractivity.
MSC
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