Supported by the National Natural Science Foundation of China (Grant No. 11901541);The Scientific and Technological Key Projects of Henan Province (Grant No. 202102310631);The Key Scientific Research Project in Colleges and Universities of Henan Province of China (Grant No. 19A110036)
In this paper, a pest-dependent model and integrated pest management strategy is proposed, that is, when pest populations reach levels that impair economic development, we will use a combination of strategies, such as...
Supported by the National Natural Science Foundation of China(Nos.11371368);The Natural Science Foundation of HeBei(No.A2014506015)
In this paper, a stochastic predator-prey model with stage structure for predatorand ratio-dependent functional response is concerned. Sufficient conditions for the globalasymptotic stability of positive equilibrium a...
Supported by the the NSF of Gansu Province(096RJZE106)
In this paper, a predator-prey model of three species is investigated, the necessary and sucient of the stable equilibrium point for this model is studied. Further, by introduc-ing a delay as a bifurcation parameter, ...
Supported by the NSFC(11371368);Supported by the Basic Courses Department of OEC Foundation(Jcky1302)
A Holling type III predator-prey model with stage structure for prey is investi-gated. By analyzing the corresponding characteristic equations, the local stability of each of feasible equilibria of the system is discu...
Foundation item: Supported by the NNSF of China(11071254); Supported by the Science Foundation of Mechanical Engineering College(YJJXMll004)
A delayed predator-prey model concerning impulsive spraying pesticides and releasing natural enemies is proposed and investigated,in which both the prey and the predator have a history that takes them through two stag...
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...
Supported by the National Natural Science Foundation of China(10471066);Supported by the Ordnance Engineering College Foundation(YJJXM05013)
In this paper, a Lotka-Volterra type predator-prey model with time delays due to gestation of the predator and dispersal for both the prey and the predator is investigated. We first establish two different results on ...