In this work,we study a predator-prey model of Gause type,in which the prey growth rate is subject to an Allee effect and the action of the predator over the prey is determined by a generalized hyperbolic-type functio...
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...
supported by Special Foundation for Excellent Young Teachers and Principals Program of Jiangsu Province,China.
In this study,we consider a diffusive predator-prey model with multiple Allee effects induced by fear factors.We investigate the existence,boundedness and permanence of the solution of the system.We also discuss the e...
This work was supported by the Natural Science Foundation of China(Grant Nos.11861065,11771373 and 11961066);the Natural Science Foundation of Xinjiang Province of China(Grant No.2019D01C076);The Doctoral innovation project of Xinjiang University(XJUBSCX-2017005);the graduate research innovation project of Xinjiang Province(XJ2019G007);the China Scholarship Council under a joint-training program at Memorial University of Newfoundland(201907010023).
In this paper,a stochastic delayed differential algebraic predator-prey model with Michaelis-Menten-type prey harvesting is proposed.Due to the influence of gestation delay and stochastic fluctuations,the proposed mod...
The aim of this work is to provide a formulation of two related nonlinear diffusive convective models in the form of coupled reaction-absorption equations.First,the postulated models are studied with an analytical app...
supported by the National Science Foundation of China under Grants 11926357;also supported by the Startup Foundation for Introducing Talent of NUIST.
In this study,we investigate the optimal control problem for a diffusion eco-epidemiological predator-prey model.We applied two controllers to this model.One is the separation control,which separates the uninfected pr...
In this paper, an eco-economic model with harvesting on biological population is established, which takes the form of a differential-algebra system. The impact of the economic profit from harvesting upon the dynamics ...
This paper deals with a discrete-time predator-prey system which is subject to an Allee effect on prey.We investigate the existence and uniqueness and find parametric conditions for local asymptotic stability of fixed...
the Sichuan Science and Technology Program(Grant No.2018JY0480)of China;the Natural Science Foundation Project of CQ CSTC (Grant No. cstc2015jcyjBX0135) of China;the Science Fund for Distinguished Young Scholars(cstc2014jc yjjq40004) of China;the Scientific Research Plan Projects for Higher Schools in Hebei Province(Grant No.Z2017047) of China;the Postdoctoral Science Foundation(Grant No.2016m602663)of China;the National Nature Science Fund (Project No.61503053) of China.
In this paper,a class of three-species multi-delay Lotka-Volterra ratio-dependent predator-prey model with feedback controls and shelter for the prey is considered.A set of easily verifiable sufficient conditions whic...
In the interaction between plants and herbivores that live in the same ecosystem, understanding the conditions in which co-existence equilibrium occurs answers a major question in Ecology. In this interaction, plants ...