Supported by National Natural Science Foundation of China(Grant No.11961074).
In this paper,a model of predator-prey with dual delay in maturation and carrying capacity is discussed,in which the past activity of the prey should have an impact on the carrying capacity,the mature prey initiates d...
In this paper, a differential-algebraic predator prey system with time delay is investigated, where the time delay is regarded as a parameter. By analyzing the corresponding characteristic equations, the local stabili...
This work was supported by National Science Foundation of China 61273008 and 61203001, Doctor Startup Fund of Liaoning Province (20131026), Fundamental Research Funds for the Central University (N140504005) and China Scholarship Council. The authors gratefully thank referees for their valuable suggestions.
A differential-algebraic prey--predator model with time delay and Allee effect on the growth of the prey population is investigated. Using differential-algebraic system theory, we transform the prey predator model int...
In this paper, we investigate the impact of maturation delay on the positive equilibrium solutions in a stage-structured predator prey system. By analyzing the characteristic equation we derive the conditions for the ...
A delayed predator-prey diffusion system with homogeneous Neumann boundary condi- tion is considered. In order to study the impact of the time delay on the stability of the model, the delay ^- is taken as the bifurcat...
Supported by the Natural Science Foundation of Shandong Province (ZR2010AM022);the outstanding young and middle-aged scientists research award fund of Shandong Province(BS2011SF004;Program for Innovative Research Team in Ludong University
In this paper,we consider a delayed predator-prey system and obtain sufficient conditions for the global asymptotic stability of the positive equilibrium.
The combined effects of harvesting and time delay on predator-prey systems with Beddington-DeAngelis functional response are studied. The region of stability in model with harvesting of the predator, local stability o...
supported by the Sciences Foundation of Shanxi (2009011005-3);the Major Subject Foundation of Shanxi
A non-autonomous predator-prey delay system with Beddington-DeAngelis functional response and impulsive controls is established. A set of sufficient conditions which guarantee the prey and the predator to be permanent...
A periodic coefficients predator-prey system of Ivlev type with both discrete and continuous time delay is investigated. A sufficient condition of the existence of positive periodic solution is established for the sys...
Research supported by the Major and Youth Project Foundation of Hubei Province Education Department(2001z06003)(200200002)
In this paper, a two-species diffusive predator-prey model with time delay and functional response is studied, where all parameters are time dependent. By using the continuation theorem of coincidence degree theory, t...