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...
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 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...
In this paper, we considered a homogeneous reaction-diffusion predator-prey system with Holling type II functional response subject to Neumann boundary conditions. Some new sufficient conditions were analytically esta...
Supported by the National Natural Science Foundation of China(61563026)
In this article, a two-species predator-prey reaction-diffusion system with Holling type-IV functional response and subject to the homogeneous Neumann boundary condition is regarded. In the absence of the spatial diff...
The authors wish to express their gratitude to the editors and the reviewers for the helpful comments. This research is supported by the National Nature Science Foundation of China (No. 11601070) and Heilongjiang Provincial Natural Science Foundation (No. A2015016).
In this paper, a diffusive predator-prey system with additional food and intra-specific competition among predators subject to Neumann boundary condition is investigated. For non-delay system, global stability, Turing...
In this paper, we consider the direction and stability of time-delay induced Hopf bifurcation in a delayed predator-prey system with harvesting. We show that the positive equilibrium point is asymptotically stable in ...
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...
Supported by the National Natural Science Foundation of China(61304057);the Research Program of Hubei Normal University(ky201302);the Young and Middle-Aged Elitists’Scientific and Technological Innovation Team Project of the Institutions of Higher Education in Hubei Province(T2014212)
In this paper, a predator-prey ecological economic system with nonlinear harvesting rate is formulated and studied. This system is described by a differential-algebraic equation. By employing local parameterization me...
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 ...