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 this work, we study a system of autonomous fractional differential equations. The differential operator is taken in the Caputo sense. Using the monotone iterative technique combined with the method of upper and low...
In this paper, a differential-algebraic predator prey system with time delay is investigated, where the time delay is regarded as a parameter. By analyzing the corresponding characteristic equations, the local stabili...
In most models of population dynamics, diffusion between two patches is assumed to be either continuous or discrete. However, in the real world, it is often the case that diffusion occurs at certain moment every year,...
First, a discrete stage-structured and harvested predator-prey model is established, which is based on a predator-prey model with Type III functional response. Then the~ oretical methods are used to investigate existe...