Predator-Prey System
Heteroclinic Bifurcation and Multistability in a Ratio-dependent Predator-Prey System with Michaelis-Menten Type Harvesting Rate
... dependent predator-prey system where predator pop- ulation is subjected to harvesting with Michaelis- Menten type harvesting ...exploited predator- prey system by using ...
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Dynamics of a discrete time predator prey system
... predator-prey system is unstable if a chaotic behavior ...the prey is chaotic, the predator will ultimately tend to extinct or tend to a sta- ble fixed ...with system () for c = ...
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Spatiotemporal dynamics of a predator–prey system with prey taxis and intraguild predation
... a predator kills and eats its ...between predator and prey is the most basic and is also ubiquitous in hu- man ...various predator–prey models have been studied, such as the stability, ...
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Bifurcation analysis in a diffusive predator–prey system with Michaelis–Menten type predator harvesting
... studied predator–prey dynamic models and developed them in many ways ...stochastic prey–predator system in a polluted environment with Beddington–DeAngelis functional response and ...
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Analysis of a Nonautonomous Delayed Predator Prey System with a Stage Structure for the Predator in a Polluted Environment
... of predator-prey system is a natural phenomenon and represents the division of a population into immature and mature ...as system of differential equations with time ...of system is also ...
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Global stability of a predator-prey system with stage structure of distributed-delay type
... autonomous predator-prey system with stage structure of distributed-delay type is studied in this ...the system is ...stage-structured predator-prey system, Applied ...
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A diffusive predator prey system with prey refuge and gestation delay
... diffusive predator-prey system with prey refuge and gestation delay is investigated in this ...non-delay system, global stability, Turing instability and Hopf bifurcation are ...delay ...
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Numerical Solutions of a Fractional Predator Prey System
... with prey population A and predator population B. For prey population A → 2A, at rate a, a > 0 represents the natural birth ...For predator population B → 0, at rate c > 0, c denotes the ...
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Persistence and Turing instability in a cross diffusive predator–prey system with generalist predator
... two-species predator–prey system with the Beddington–DeAngelis functional response and subject to homogeneous Neumann boundary conditions by means of the upper and lower solutions method and the ...
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Complex dynamics of a discrete predator–prey system with a strong Allee effect on the prey and a ratio dependent functional response
... discrete predator–prey system with a strong Allee effect on the prey and a ratio-dependent functional response, which is the discrete version of the continuous system in (Nonlinear ...
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Global Asymptotical Stability in a Stochastic Predator-Prey System With Variable Delays
... Abstract —A stochastic predator-prey system in- volving time-varying delays is considered. Some new sufficient conditions for existence, extinction and global asymptotical stability are obtained. It is ...
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Dynamics of a predator–prey system with three species
... This paper is concerned with the dynamics of a predator–prey system with three species. When the domain is bounded, the global stability of positive steady state is established by contracting ...
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Predator-prey System with the Effect of Environmental Fluctuation
... a system of two coupled deterministic predator-prey models switching at ...the predator-prey system leads to the existence of a periodic Markov process, which plays an important ...
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Dynamics of a predator-prey system with prey refuge
... the predator per prey item and ability of the predator to detect the prey ...many predator species. The role of alternative prey (additional food) in sustaining preda- tor ...
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Stability Analysis of a Discrete Prey - Predator Model with Ratio Dependence
... a system when two species interact with each other in the same ...discrete predator-prey system with the logistic growth in prey and the functional response is ...the system are ...
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Dynamics Of Predator-Prey Model With Disease In Prey And Nonlinear Harvesting Predator
... have prey dependent interaction and some have ratio-dependent interaction which indeed carried on lots of debate [20, 28, 2, 11, 8, ...the predator interacts with infected prey ...the ...
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Advantage of prey due to herd behavior in diseases selective system
... the predator can recognize and avoid infected prey then this selection of predator may accrue the enhanced nutritional benifits of eating phylogenetically close prey while limiting risk of ...
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The dynamics of disease transmission in a Prey Predator System with harvesting of prey
... on predator-prey system, a disease transmission model, incorporating provisions for harvesting of prey have been discussed and ...infected prey, the disease is spreading to susceptible ...
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Permanence of the periodic predator prey mutualist system
... We arrange the rest of the paper as follows: In Section , we introduce one lemma and state the main results of this paper. The results are proved in Section . In Section , a suit- able example together with its ...
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Persistence and global stability of a Leslie-Gower predator-prey refuge system with a competitor for the prey
... in predator-prey ...a predator-prey system with Holling type-II functional response and a prey ...to predator extinction and prey stabilizing at high ...type ...
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