Predator-prey model
Dynamics Of Predator-Prey Model With Disease In Prey And Nonlinear Harvesting Predator
... Abstract: In this paper, we investigate the dynamics of a predator-prey model having disease in prey in the presence of quadratic harvesting. The boundedness and permanence of solutions are ...
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Analysis of a predator prey model with Lévy jumps
... is a generalization of the model in []. A basic problem concerning predator-prey model is the existence and uniqueness of global positive solutions. One of the main approaches in the ...
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Stability and Hopf bifurcation of a predator-prey model
... the predator-prey model has become one of the most important research topics in mathematical ecology for nearly a ...a predator-prey ...a predator-prey ...a ...
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On the stability and Hopf bifurcation of a predator prey model
... single-species model with stage structure was studied by Aiello and Freedman ...dependent predator-prey model with stage structure for the ...
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Analysis of a predator prey model with impulsive diffusion and releasing on predator population
... The dispersal is a ubiquitous phenomenon in the natural world. It is important for us to understand the ecological and evolutionary dynamics of populations mirrored by the large number of mathematical models devoted to ...
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Optimal Harvest of a Stochastic Predator Prey Model
... The organization of the paper is as follows: we recall the fundamental theory about stochastic differential equation with Markovian switching in Section 2. We show that the hybrid system 1.3 is permanent in Section 3. ...
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Role of Alternative Prey in A Predator-Prey Model With Prey Refugia - A Mathematical Study
... study predator-prey model with various biological factors and ...a predator-prey food chain model with alternative prey source for predator ...the model ...
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Threshold dynamics of a predator–prey model with age structured prey
... A predator–prey model, with aged structure in the prey population and the assumption that the predator hunts prey of all ages, is proposed and ...the model determined by ...
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Stability and Hopf bifurcation for a stage structured predator–prey model incorporating refuge for prey and additional food for predator
... stage-structured predator– prey model incorporating refuge for prey and additional food for predator is ...the model are ...
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Numerical Study of Predator-Prey Model with Beddington-DeAngelis Functional Response and Prey Harvesting
... the predator-prey model proposed by Gupta and Chandra [8] and Yu [9] by in- corporating a Bedington-DeAngelis functional response and the Michaelis-Menten type prey ...the ...
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Turing instability and Hopf bifurcation in a predator–prey model with delay and predator harvesting
... of predator to prey, the handling time, and the magnitude of interference among predators, ...type predator–prey model with Crowley–Martin functional response, mainly focusing on ...
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Dynamic behaviors of Lotka–Volterra predator–prey model incorporating predator cannibalism
... where x(t), y(t) stand for the population (the density) of the prey and the predator at time t, respectively. Yu [18] provided two sets of sufficient conditions on the global asymptotic stability of a ...
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Existence and Stability of Solutions for a diffusive Predator-Prey Model with Predator Cannibalism
... Abstract. In this paper, we consider a diffusive predator-prey model with predator cannibalism. Using the energy estimates and Gagliardo-Nirenberg-type inequalities, the existence and uniform ...
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Global boundedness of solutions in a reaction–diffusion system of Beddington–DeAngelis-type predator–prey model with nonlinear prey-taxis and random diffusion
... corresponding predator– prey model. The existence of a prey-taxis term in ...the prey- taxis term ∇ · (uχ(u)∇v) contained in the corresponding predator–prey model ...
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Effect of Predator Mutual Interference on an Autonomous Leslie-Gower Predator-prey Model
... Lotka-Volterra predator- prey model incorporating predator mutual interference with a constant number of refuge and a constant fraction refuge, ...of predator species plays an essential ...
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Backward bifurcation of predator–prey model with anti predator behaviors
... the prey into multure and immature subpopulations, many researchers investigated the predator–prey system through autonomous models [18, 19], periodical models [20–22], delay differential equa- tions ...
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A PREDATOR-PREY MODEL WITH STRONG ALLEE EFFECT IN THE PREY AND AN ALTERNATIVE FOOD SOURCE FOR THE PREDATOR
... mathematical model that will fit entirely any natural subsystem, but there always has been a constant endeavour from researchers to find out the most suitable model that might describe and forecast natural ...
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Predator-prey model with constant rate of harvesting
... the predator-prey model by with the constant rate of ...are prey and predator. We will formulate the model by adding the constant rate of harvesting prey, predator ...
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A stochastic predator prey model with delays
... Motivated by the above work, we therefore wonder if the explosion problem for system (.) can be avoided by taking the environmental noise into account instead of imposing conditions on the coefficients of (.). To ...
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A Predator prey Model with Predator Population Saturation
... new predator-prey model having predator saturation is ...The model resembles a classical Rosenzweig-MacArthur type model, but comes with an added function, the population ...
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