Multiple positive periodic solutions of species delay competition systems with harvesting terms

Periodic Solutions for n-Species Lotka-Volterra Competitive Systems with Pure Delays

“…It is well known that the focus in theoretical models of population and community dynamics must be not only on how populations depend on their own population densities or the population densities of other organisms but also on how populations change in response to the physical environment [19]. To consider periodic environmental factor, it is reasonable to study Lotka-Volterra systems with periodic coefficients.…”

Dynamics in a Lotka-Volterra Predator-Prey Model with Time-Varying Delays

“…Theorem 3. Let 1 , 2 , 3 , and 1 be defined by (11), (18), (24), and (30), respectively. Suppose that the following conditions:…”

“…Equations (11), (18), (24), (30), (36), and (42) show that system (1) is permanent. The proof of Theorem 3 is complete.…”

Uniformly Strong Persistence for a Delayed Predator‐Prey Model

“…Fazly and Hesaaraki 9 dealt with periodic solutions of a predator-prey system with monotone functional responses. One can see [10][11][12][13][14][15][16][17][18][19] and so forth for more related studies. However, the research work on asymptotically periodic predator-prey model is very few at present.…”