the National Natural Science Foundation of China (No.11971143;12071105);Zhejiang Provincial Natural Science Foundation of China (No.LZ23A010001)。
In this paper, we are concerned with a predator-prey model with Holling type Ⅱ functional response and Allee effect in predator. We first mathematically explore how the Allee effect affects the existence and stabilit...
Supported by the Anhui Provincial Department of National Land and Resources with their Science and Technology Project entitled "Research on a Dynamic Monitoring Land Usage,Evaluation and Decision Support Management System in Wanjiang Demonstration Area"(Grant No.2011-K-23);Anhui Agricultural University,China(Grant No.YJ2012-03,No.XK2013029 and No.11201002);The Natural Sciences and Engineering Research Council of Canada
A new nonlinear predator-prey model with incomplete trophic transfer is introduced. In this model, we assume that the rate of the trophic absorption of the predator is less than the rate of the conversion of consumed ...
Supported by the National Natural Science Foundation of China(No.11101170);Research Project of the Central China Normal University(No.CCNU12A01007);the State Scholarship Fund of the China Scholarship Council(2011842509)
This paper discuss the cusp bifurcation of codimension 2 (i.e. Bogdanov-Takens bifurcation) in a Leslie^Gower predator-prey model with prey harvesting, which was not revealed by Zhu and Lan [Phase portraits, Hopf bi...
Supported by the National Natural Science Foundation of China (No.19531070)
In this paper, we study a non-autonomous ratio-dependent predator-prey model with exploited term. By means of the coincidence degree theory, we establish a sufficient condition for the existence of at least two positi...
A periodic predator-prey model with stage structure for prey and time delays due to negative feed-back and gestation of predator is proposed.By using Gaines and Mawhin's continuation theorem of coincidencedegree theor...
Supported by National Natural Science Foundation of China (No.10171106)
A mathematical model of a predator-prey model with Ivlev’s functional response concerning integrated pest management (IPM) is proposed and analyzed. We show that there exists a stable pest-eradication periodic soluti...
A predator-prey system is investigated for the global stability and existences of limit cycleand at least two limit cycles by using qualitative analysis and the idea of Poincare'-BendixsonTheoy.
This paper investigates the predator-prey system:x=k_1(x-ax)-k(x)y,y=(-k_3+βk(x)ywit.k(x)=k_2x, x≤x, k_2x, x>τ,where α, β, τ; k_1, k_2, k_3 are positive constants.The main results are as follows(i) In case k_3-...