GLOBAL STABILITY OF A NONLINEAR DISCRETE POPULATION MODEL WITH TIME DELAYS
Na Fang () and
Xiaoxing Chen ()
Additional contact information Na Fang: College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian, 350002, China
Xiaoxing Chen: College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian, 350002, China
The global stability of a nonlinear discrete population model of Volterra type is studied. The model incorporates time delays. By linearization of the model at positive solutions and construction of Liapunov functionals, sufficient conditions are obtained to ensure that a positive solution of the model is stable and attracts all positive solutions. An example shows the feasibility of our main results.