In this paper, we consider the fear effect and gestation delay, and then establish a delayed predator-prey model with cannibalism. Firstly, we prove the well-posedness of the model. Secondly, the existence and stabili...
supported by the National Natural Science Foundation of China(71874067);Jiangsu Province Post Doctoral Fund(2020Z217);the Agricultural Science and Technology Independent Innovation Fund of Jiangsu Province(CX(20)3074);the Six Industry Talent Peak Project fund of Jiangsu Province(RJFW-049 and JNHB-115).
In this paper,we propose and investigate a delayed diffusive predator-prey model affected by toxic substances.We first study the boundedness and persistence property of the model.By analyzing the associated characteri...
supported by the Natural Science Foundation of China(11672074);the Natural Science Foundation of Fujian Province(2022J01192).
In this paper,a stage structure predator-prey model consisting of three nonlinear ordinary differential equations is proposed and analyzed.The prey populations are divided into two parts:juvenile prey and adult prey.F...
This work is jointly supported by the National traditional Medicine Clinical Research Base Business Construction Special Topics(JDZX2015299);the Fundamental Research Funds for the Central University FRF-BR-16-019A.
This paper proposes a diffusive predator-prey model with Allee effect,time delay and anti-predator behavior.First,the existence and stability of all equilibria are analyzed and the conditions for the appearance of the...
In this paper, we have considered a delayed stage-structured diffusive prey-predator model, in which predator is assumed to undergo exploitation. By using the theory of partial functional differential equations, the l...
supported by the National Natural Science Foundation of China(Grant Nos.11272051 and 11302172)
The stability of the first-order and second-order solution moments for a Harrison-type predator-prey model with parametric Gaussian white noise is analyzed in this paper. The moment equations of the system solution ar...
A kind of singularly perturbed delayed equation for predator-prey system is consi- dered. According to the boundary layer function method and the singular perturbation theory, we construct an asymptotic expansion of t...
Foundation item: Supported by the National Natural Science Foundation of China(l1261010); Supported by the Soft Science and Technology Program of Guizhou Province(2011LKC2030); Suppored by the Natural Science and Technology Foundation of Guizhou Province(J[2012]2100); Suppored by the Governor Foundation of Guizhou Province([2012]53); Suppored by the Doctoral Foundation of Guizhou University of Finance and Economics(2010); Suppored by the Science and Technology Program of Hunan Province(2010FJ6021)
A delayed predator-prey Gompertz model is investigated. The stability is analyzed. Anti-control of Hopf bifurcation for the model is presented. Numerical simulations are performed to confirm that the new feedback cont...
This work was supported by the National Natural Science Foundation of China (No.10572011).
A ratio-dependent predator-prey system with stage structure and time delays for both prey and predator is considered in this paper. Both the predator and prey have two stages,immature stage and mature stage,and the gr...
the National Natural Science Foundation of China(No.10471117)the Leading Academic Discipline Project of Guizhou Province
We consider a delayed stage-structured pest management predator-prey system with impulsive transmitting on predator and chemical control on prey. Sufficient conditions of the global attractiveness of the pest-extincti...