Dynamical analysis of a stage-structured predator-prey model with cannibalism

2019 ◽  
Vol 307 ◽  
pp. 33-41 ◽  
Author(s):  
Fengqin Zhang ◽  
Yuming Chen ◽  
Jianquan Li
Keyword(s):  
Dynamical Analysis ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

scholarly journals Dynamical Analysis of a Stochastic Predator-Prey Model with an Allee Effect

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Feng Rao
Keyword(s):  
Asymptotic Stability ◽  
Lyapunov Functions ◽  
Allee Effect ◽  
Dynamical Analysis ◽  
Type Ii ◽  
Qualitative Properties ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Stochastic Boundedness ◽  
Prey Model

We present and analyze a modified Holling type-II predator-prey model that includes some important factors such as Allee effect, density-dependence, and environmental noise. By constructing suitable Lyapunov functions and applying Itô formula, some qualitative properties are given, such as the existence of global positive solutions, stochastic boundedness, and the global asymptotic stability. A series of numerical simulations to illustrate these mathematical findings are presented.

scholarly journals Dynamical Analysis of Predator-Prey Model Leslie-Gower with Omnivore

2018 ◽  
Vol 8 (2) ◽  
pp. 126-132
Author(s):  
Rina Exviani ◽  
◽  
Wuryansari Muharini Kusumawinahyu ◽  
Noor Hidayat
Keyword(s):  
Dynamical Analysis ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

DYNAMICAL ANALYSIS OF A THREE-DIMENSIONAL PREDATOR-PREY MODEL WITH IMPULSIVE HARVESTING AND DIFFUSION

2011 ◽  
Vol 21 (02) ◽  
pp. 453-465 ◽  
Author(s):  
JIANJUN JIAO ◽  
SHAOHONG CAI ◽  
LANSUN CHEN
Keyword(s):  
Three Dimensional ◽  
Dynamical Analysis ◽  
Biological Resource ◽  
Globally Asymptotically Stable ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
All Solutions ◽  
And Diffusion ◽  
Impulsive Harvesting

In this work, we consider a three-dimensional predator-prey model with impulsive harvesting and diffusion at different fixed moments. We prove that all solutions of the investigated system are uniformly ultimately bounded. The conditions of the globally asymptotically stable prey-extinction boundary periodic solution of the investigated system are obtained, as well the permanence of the investigated system. Finally, numerical analysis is inserted to illustrate the results which provide reliable tactic basis for the practical biological resource management.

scholarly journals Dynamical analysis of a predator-prey model arising from palm tree plantation

2019 ◽  
Vol 2 (2) ◽  
pp. 127
Author(s):  
Yenie Syukriyah ◽  
Muhammad Fakhruddin ◽  
Nuning Nuraini ◽  
Rudy Kusdiantara
Keyword(s):  
Dynamical Analysis ◽  
Palm Tree ◽  
Tree Plantation ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model
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