the NNSF of PR China(11071014,11071205,11001032);the Fundamental Research Funds for the Central Universities(06108114).
In this paper,we study a class of predator-prey models with Beddington-De Angelis functional response.And the predator equation has singularity in zero prey population,where a smoothing auxiliary function is introduce...
In this paper, we consider a predator-prey model with fear effect and square root functional response. We give the singularity of the origin and discuss the stability and Hopf bifurcation of the trivial equilibrium an...
We analysis Hopf bifurcation in a Monod-Haldane predator-prey model with three delays in this paper.Fixingτ1 andτ2 and takingτ3 as parameter,the direction and stability of Hopf bifurcation are studied by using cent...
supported by the Natural Science Foundation of Fujian Province(2015J01012)
A nonautonomous modified Leslie-Gower predator-prey model with non- monotonic functional response and a prey refuge is proposed and studied in this paper. Sufficient conditions which guarantee the permanence, extincti...
supported by the Natural Science Foundation of Fujian Province(2015J05006);the foundation of Education Department of Fujian Province(JAT160063)
In this paper, we study a predator-prey model with prey refuge and disease. We study the local asymptotic stability of the equilibriums of the system. Further, we show that the equilibria are globally asymptotically s...