[PDF] Top 20 Qualitative analysis on a predator prey model with Ivlev functional response

... The predator-prey model has long been one of the dominant themes due to its universal existence and ...the Ivlev- type predator-prey model; see [–] for ...the ... See full document

... the model of the pred- ator prey model with Allee effect has attracted the attention of many scholars and researchers because of its complexity and the wide ...the predator-prey ... See full document

... Gierer–Meinhardt model [35–38], the Sel’kov model [26, 39], the Lotka–Volterra competition model [40–42] and the Lotka–Volterra predator–prey model [20, 23, 24, 43–45] and so ... See full document

... The qualitative analysis of system () is in Additional file , here we mainly discuss the stochastic system. In the following section, we derive the existence of a positive solution of system (), an ... See full document

... The predator-prey model forms the building block of ...of predator and its prey exhibits a variety of ...a predator-prey model ...the predator-prey ... See full document

... Kolmogorov model has been applied to many biological and environmental ...Gauss-type predator–prey model that includes the Allee effect and Holling type-III functional ...the ... See full document

... important Predator – Prey models with the functional response is the Holling type – IV, originally due to Holling which has been extensively studies in many articles [4-6, ...of ... See full document

... ratio-dependent predator–prey model with Holling III type functional response and nonlinear harvesting in presence of white noise terms to understand the dynamics in presence of ... See full document

... ratio-dependent functional response predator-prey model with a fractional order ...local analysis of the fractional-order counterpart, only deals with the stability (un- ... See full document

... delayed predator-prey system with stage structure for the predator, Nonlinear Analysis: Real World Applications, ...delayed predator-prey system with stocking,” Nonlinear ... See full document

... ratio-dependent functional response is proposed and analysed. The model is characterized by a coupled system of first order non-linear difference ... See full document

... the prey and the predator , ...the prey, k is the carrying capacity of the environment, β is the capture rate of the predator, µ is the conversion rate of prey into predator, d ... See full document

... their prey over the course of experimental ...my analysis demonstrates, eliminating depletion is not necessary to test among several quantitative hypotheses when the depletion process can be explicitly ... See full document

... the prey density per unit time per predator as a function of prey or both prey and predator ...famous functional re- sponse in the predator–prey system reported in ... See full document

... a prey-predator model with Allee effect and Holling type-I functional response is established, and its dynamical behaviors are studied in ...the model are qualitatively discussed. ... See full document

... In the following example, we investigate the effects of functional response on the species. First, by comparing Figures (a)-(d) we observe that the effects of handling time a(t) and the magnitude of ... See full document

... biology model, if the size of population is rarely small, or the population has no overlapping generation, or people study population changes within certain intervals of time, the discrete-time model would ... See full document

... harvested predator-prey system with Holling type III functional response is ...applying qualitative theory of differential equations, we show the instability and global stability ... See full document

... a prey refuge under sparse effect is considered. Through qualitative analysis of the model, at least two limit cycles exist around the positive equilibrium point with the result of focus value, ... See full document

... ratio-dependent predator-prey model. The reason for choosing this model is that, since we know the dynamics of the system, it will be better for us to determine the effects of delay and ... See full document