[PDF] Top 20 Diffusive induced global dynamics and bifurcation in a predator prey system
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Diffusive induced global dynamics and bifurcation in a predator prey system
... a global pos- itive solution of ...the system is ...the global stability of the constant equilibria is proved by the Lyapunov function method under certain conditions ... See full document
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Hopf Bifurcation Analysis for a Modified Time Delay Predator Prey System with Harvesting
... the dynamics of predator-prey systems is one of the dominant subjects in ecology and mathematical ecology since Lotka [1] and Volterra [2] proposed the well- known predator-prey model ... See full document
10
Bifurcation, chaos analysis and control in a discrete time predator–prey system
... period-doubling bifurcation and chaotic ...of predator and prey play a vital role for local and global stability of predator–prey ...to bifurcation parameter ...for ... See full document
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Bifurcation Analysis for a Delayed Predator-Prey System with Stage Structure
... delayed predator-prey system with stage structure is ...Hopf bifurcation and the stability of the bifurcating periodic solutions is derived by using the normal form and the center manifold ... See full document
14
Global Hopf bifurcation for three species ratio dependent predator prey system with two delays
... the dynamics of a three-species ratio-dependent predator-prey food-chain model is ...the bifurcation parameter, the local stability of the positive equilibrium and the existence of Hopf ... See full document
27
Bifurcation and complex dynamics of a discrete time predator prey system with simplified Monod Haldane functional response
... the bifurcation diagrams, phase portraits and Lyapunov exponents of system () to confirm the previous analytic results and show some new interesting complex dynamical behaviors existing in system ... See full document
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Bifurcation analysis in a diffusive predator–prey system with Michaelis–Menten type predator harvesting
... Michaelis–Menten-type predator harvesting and diffusion term. We give sufficient conditions to ensure that the coexisting equilibrium is asymptotically stable by analyzing the distribution of characteristic roots. We ... See full document
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Dynamics of a discrete time predator prey system
... Lotka-Volterra predator-prey model [, ] is one of the most important population ...other predator-prey models of vari- ous types that have been extensively investigated, and some of the ... See full document
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Dynamics of a diffusive Leslie–Gower predator–prey system with ratio dependent Holling III functional response
... Hopf bifurcation when the spatial homoge- neous bifurcating periodic solution comes out, including the accurate bifurcation direc- tion, the certain stability of bifurcating periodic solution, and the ... See full document
23
Dynamics and chaos control in a discrete-time ratio-dependent Holling-Tanner model
... new bifurcation diagrams is obtained as plotted in ...the predator-prey system (3) expe- riences Neimark-Sacker bifurcation and flip bifurcation both together when parameter a ... See full document
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A diffusive predator prey system with prey refuge and gestation delay
... The dynamics of a diffusive predator-prey system with prey refuge and gestation delay is investigated in this ...non-delay system, global stability, Turing instability and ... See full document
22
Delay induced Hopf bifurcation in a diffusive Holling–Tanner predator–prey model with ratio dependent response and Smith growth
... induce bifurcation. Many results on the Hopf bifur- cation of diffusion system can be found in ...Hopf bifurcation of the diffusive predator–prey system with delay subject to ... See full document
11
Backward bifurcation of predator–prey model with anti predator behaviors
... the predator can coexist with the prey in the term of a sta- ble positive equilibrium if the rate of anti-predator behavior is relatively small, as shown in ...adult prey population through ... See full document
15
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 ...of dynamics to analyze the differential equations based on a ... See full document
11
Hopf bifurcation of a delayed diffusive predator prey model with strong Allee effect
... between predator and prey play a complicated role in a predator-prey ...a predator-prey system by creating instability, oscillation, and chaos ...the predator ... See full document
22
Persistence and Turing instability in a cross diffusive predator–prey system with generalist predator
... of predator–prey modes, the functional response is classified into four types: Lotka–Volterra type, Holling type II (Michaelis–Menten type), generalized Holling type III (Sigmoidal), and IV functional ... See full document
20
Dynamics of a predator-prey system with prey refuge
... the dynamics of the model ...Bogdanov-Takens bifurcation may occur. In contrast, by the introduction of prey refuge providing addi- tional food to predator, our proposed model ...Hopf ... See full document
21
Bifurcation Analysis of Prey-Predator Model with Harvested Predator
... 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 predator to its ... See full document
10
Existence and Stability of Solutions for a diffusive Predator-Prey Model with Predator Cannibalism
... stability induced by cross-diffusion, and the existence of nonconstant positive steady-state solutions [13, 19, 23]; (2) the global existence of strong solutions [7, 8, 10, 14, 15, 16, 25, 27]; (3) the ... See full document
18
On the stability and Hopf bifurcation of a predator prey model
... The organization of this paper is as follows. In Section , we give the stability analysis of feasible equilibria and find the existence of a Hopf bifurcation at the coexistence equilib- rium. The stability and ... See full document
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