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Lotka-Volterra Competitive System

Dynamic behaviors of a discrete Lotka Volterra competitive system with the effect of toxic substances and feedback controls

Dynamic behaviors of a discrete Lotka Volterra competitive system with the effect of toxic substances and feedback controls

... By noting the fact that the intrinsic growth rate are not positive everywhere, we revisit Lotka-Volterra competitive system with the effect of toxic substances and feedback controls. The ...

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Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation

Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation

... the competitive models for ...classical LotkaVolterra competitive system which has received great attention and has been studied extensively owing to its theoretical and practical ...

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Note on the Persistent Property of a Discrete Lotka Volterra Competitive System with Delays and Feedback Controls

Note on the Persistent Property of a Discrete Lotka Volterra Competitive System with Delays and Feedback Controls

... A nonautonomous N-species discrete Lotka-Volterra competitive system with delays and feedback controls is considered in this work. Sufficient conditions on the coefficients are given to guarantee ...

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Well-posedness of a ratio-dependent Lotka–Volterra system with feedback control

Well-posedness of a ratio-dependent Lotka–Volterra system with feedback control

... time LotkaVolterra competitive system with harvesting terms by using Mawhin’s continuation theorem of coincidence degree ...elliptic system and give some applications to biol- ...

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Feedback control effect on the Lotka Volterra prey predator system with discrete delays

Feedback control effect on the Lotka Volterra prey predator system with discrete delays

... two-species competitive system and discussed the existence of the globally attractive positive equilibrium of the system with feedback ...nonautonomous Lotka-Volterra competitive ...

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Partial permanence and extinction on stochastic Lotka Volterra competitive systems

Partial permanence and extinction on stochastic Lotka Volterra competitive systems

... population system will survive or die out in the future, which have received much attention (see ...stochastic Lotka-Volterra systems to become extinct while the population may be persistent under a ...

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Improved LMI based stability conditions for a competitive Lotka–Volterra system with time varying delays

Improved LMI based stability conditions for a competitive Lotka–Volterra system with time varying delays

... In this paper, we have addressed the local stability problem for a class of competitive L-V systems with time delays. By constructing some new quadratic L-K functionals and using the advanced Wirtinger integral ...

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Existence of Positive Periodic Solutions of Two Species Discrete Lotka-Volterra System with Diffusion

Existence of Positive Periodic Solutions of Two Species Discrete Lotka-Volterra System with Diffusion

... above system. Based on the above system in [15], the authors obtain that asymptotically periodic systems have a unique solution which is asymptotically ...nonautonomous Lotka-Volterra periodic ...

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Competitive Lotka–Volterra population dynamics with jumps

Competitive Lotka–Volterra population dynamics with jumps

... Therefore, competitive LotkaVolterra models in random environments are becoming more and more ...n-dimensional LotkaVolterra ...

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Existence of Periodic Solution for a Non Autonomous Stage Structured Predator Prey System with Impulsive Effects

Existence of Periodic Solution for a Non Autonomous Stage Structured Predator Prey System with Impulsive Effects

... [5] Z. D. Teng and L. S. Chen, “Uniform Persistence and Existence of Strictly Positive Solutions in Nonautonom- ous Lotka-Volterra Competitive Systems with Delays,” Computers & Mathematics with ...

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ALMOST PERIODIC SOLUTION OF A MULTISPECIES DISCRETE LOTKA-VOLTERRA MUTUALISM SYSTEM

ALMOST PERIODIC SOLUTION OF A MULTISPECIES DISCRETE LOTKA-VOLTERRA MUTUALISM SYSTEM

... To the best of our knowledge, this is the first paper to investigate the uniformly asymptotical stability of positive almost periodic solution of multispecies discrete Lotka-Volterra mutualism ...

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Permanence of a Lotka-Volterra cooperative system with time delays and feedback controls

Permanence of a Lotka-Volterra cooperative system with time delays and feedback controls

... the Lotka- Volterra cooperative system with feedback ...of Lotka-Volterra cooperative system or not? To find an answer to this question, we investigate the following ...

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Asymptotic behaviour of the stochastic Lotka-Volterra model

Asymptotic behaviour of the stochastic Lotka-Volterra model

... This paper examines the asymptotic behaviour of the stochastic extension of a fundamentally im- portant population process, namely the LotkaVolterra model. The stochastic version of this process appears to ...

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Permanency and Asymptotic Behavior of The Generalized Lotka-Volterra Food Chain System

Permanency and Asymptotic Behavior of The Generalized Lotka-Volterra Food Chain System

... Three (or higher)-dimensional models in general are difficult to analyze as far as the detailed behavior of their solutions is concerned. Con- sequently, the notion of the persistence has been used to describe the ...

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Experimental Demonstration of Volterra's Periodic Oscillations in the Numbers of Animals

Experimental Demonstration of Volterra's Periodic Oscillations in the Numbers of Animals

... purely theoretical considerations Lotka 1920 and Volterra 1926 concluded that a biological system consisting of two interdependent species predator and prey will exhibit regular periodic[r] ...

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Almost periodic solution for a delayed Lotka Volterra system on time scales

Almost periodic solution for a delayed Lotka Volterra system on time scales

... Then system (.) has a unique positive almost periodic solution which is globally attractive. The aim of this paper is to use the fixed point theory based on monotone operator and the Lyapunov functional to ...

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Dynamics of a nonautonomous Lotka Volterra predator prey dispersal system with impulsive effects

Dynamics of a nonautonomous Lotka Volterra predator prey dispersal system with impulsive effects

... Considering the effect of almost periodically varying environment is an important se- lective forces on systems in a fluctuating environment, Meng and Chen [] studied the case of combined effects: dispersion, time delays, ...

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Asymptotic behavior and numerical simulations of a Lotka Volterra mutualism system with white noises

Asymptotic behavior and numerical simulations of a Lotka Volterra mutualism system with white noises

... In this paper, we derived the sufficient conditions for stochastic permanence, extinction and global attractivity of system (.). In order to illustrate the above analytical results, we will give several specific ...

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Dynamic behaviors of a commensal symbiosis model with non-monotonic functional response and non-selective harvesting in a partial closure

Dynamic behaviors of a commensal symbiosis model with non-monotonic functional response and non-selective harvesting in a partial closure

... On the other hand, to obtain the resource for the development of the human being, harvesting of the species is necessary. Recently, Chakraborty, Das and Kar[24] argued that it is neces- sary to harvest the population but ...

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Stochastic Delay Lotka Volterra Model

Stochastic Delay Lotka Volterra Model

... delay Lotka-Volterra is different from Mao et ...the Lotka-Volterra model which is different from Mao et ...delay Lotka-Volterra model which only palys a role in predator-prey ...

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