Complex dynamics of a generalist predator–prey model with hunting cooperation in predator

2021 ◽  
Vol 137 (1) ◽  
Author(s):  
Bapin Mondal ◽  
Susmita Sarkar ◽  
Uttam Ghosh
Keyword(s):  
Complex Dynamics ◽  
Generalist Predator ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

scholarly journals Spatiotemporal dynamics of a diffusive predator-prey model with generalist predator

2020 ◽  
Vol 13 (11) ◽  
pp. 2949-2973
Author(s):  
Dingyong Bai ◽  
◽  
Jianshe Yu ◽  
Yun Kang ◽  
◽  
...  
Keyword(s):  
Spatiotemporal Dynamics ◽  
Generalist Predator ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

scholarly journals Predator-prey interactions under fear effect and multiple foraging strategies

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Susmita Halder ◽  
Joydeb Bhattacharyya ◽  
Samares Pal
Keyword(s):  
Complex Dynamics ◽  
Model Simulation ◽  
Prey Population ◽  
Foraging Strategies ◽  
Generalist Predator ◽  
Hopf Bifurcations ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Fear Effect ◽  
Simulation Results

<p style='text-indent:20px;'>We propose and analyze the effects of a generalist predator-driven fear effect on a prey population by considering a modified Leslie-Gower predator-prey model. We assume that the prey population suffers from reduced fecundity due to the fear of predators. We investigate the predator-prey dynamics by incorporating linear, Holling type Ⅱ and Holling type Ⅲ foraging strategies of the generalist predator. As a control strategy, we have considered density-dependent harvesting of the organisms in the system. We show that the systems with linear and Holling type Ⅲ foraging exhibit transcritical bifurcation, whereas the system with Holling type Ⅱ foraging has a much more complex dynamics with transcritical, saddle-node, and Hopf bifurcations. It is observed that the prey population in the system with Holling type Ⅲ foraging of the predator gets severely affected by the predation-driven fear effect in comparison with the same with linear and Holling type Ⅱ foraging rates of the predator. Our model simulation results show that an increase in the harvesting rate of the predator is a viable strategy in recovering the prey population.</p>

scholarly journals The Complex Dynamics of a Stochastic Predator-Prey Model

2012 ◽  
Vol 2012 ◽  
pp. 1-24 ◽  
Author(s):  
Xixi Wang ◽  
Huilin Huang ◽  
Yongli Cai ◽  
Weiming Wang
Keyword(s):  
Complex Dynamics ◽  
Deterministic Model ◽  
Qualitative Properties ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Stochastic Environments ◽  
Stochastic Boundedness ◽  
Prey Model ◽  
The Stability ◽  
Existence Of Equilibria

A modified stochastic ratio-dependent Leslie-Gower predator-prey model is formulated and analyzed. For the deterministic model, we focus on the existence of equilibria, local, and global stability; for the stochastic model, by applying Itô formula and constructing Lyapunov functions, some qualitative properties are given, such as the existence of global positive solutions, stochastic boundedness, and the global asymptotic stability. Based on these results, we perform a series of numerical simulations and make a comparative analysis of the stability of the model system within deterministic and stochastic environments.

scholarly journals A diffusive predator-prey model with generalist predator and time delay

2021 ◽  
Vol 7 (3) ◽  
pp. 4574-4591
Author(s):  
Ruizhi Yang ◽  
◽  
Dan Jin ◽  
Wenlong Wang
Keyword(s):  
Periodic Solution ◽  
Time Delay ◽  
Resource Limitation ◽  
Generalist Predator ◽  
Center Manifold Reduction ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
The Stability ◽  
Bifurcating Periodic Solution

<abstract><p>Time delay in the resource limitation of the prey is incorporated into a diffusive predator-prey model with generalist predator. By analyzing the eigenvalue spectrum, time delay inducing instability and Hopf bifurcation are investigated. Some conditions for determining the bifurcation direction and the stability of the bifurcating periodic solution are obtained by utilizing the normal form method and center manifold reduction for partial functional differential equation. The results suggest that time delay can destabilize the stability of coexisting equilibrium and induce bifurcating periodic solution when it increases through a certain threshold.</p></abstract>

scholarly journals Complex Dynamics of a Ratio-Dependent Predator-Prey Model Induced by Spatial Motion

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Caiyun Wang ◽  
Jing Li ◽  
Ruiqiang He
Keyword(s):  
Complex Dynamics ◽  
Intrinsic Factor ◽  
Spatial Effects ◽  
Spatial Motion ◽  
Stripe Pattern ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Ratio Dependent ◽  
Predator Prey Models

One of the most efficient predator-prey models with spatial effects is the one with ratio-dependent functional response. However, there is a need to further explore the effects of spatial motion on the dynamic behavior of population. In this work, we study a ratio-dependent predator-prey model with diffusion terms. The aim of this work is to investigate the changes in predator’s distribution in space as the prey populations change their mobility. We observe that the frequency diffusion of the prey gives rise to the sparse density of the predator. Moreover, we also observe that the increasing rate of the conversion into predator biomass induces pattern transitions of the predator. Specifically speaking, Turing pattern of the predator populations goes gradually from a spotted pattern to a black-eye pattern, with the intermediate state being the mixture of spot and stripe pattern. The simulation results and analysis of this work illustrate that the diffusion rate and the real intrinsic factor influence the persistence of the predator-prey system mutually.

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