Lotka-Volterra
The Lotka-Volterra Predator-Prey Equations
... as lotka- Volterra predator-prey ...classic Lotka-Volterra assumptions are unrealistic, it is assumed that there is logistic be- havior for both existing ...
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Multi-Specie Lotka-Volterra Predator-Prey Model with Environmental Stochasticity
... The interaction of multiple specie of animals in an ecological system is modeled by first reducing the ecological system to a kernel ecological system consisting of keystone species and top predators in the environment ...
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Maritime cluster evolution based on symbiosis theory and Lotka Volterra model
... The conceptual development on maritime cluster classification and evolution shows that the performances of cluster functions are wide-ranging. For example, London is regarded as the fourth type of maritime cluster, which ...
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Semiotic Interpretation of Lotka–Volterra Model and its Usage in Knowledge Management
... Fig. 1 Correspondences between phases of self-ogranization and stages of information processes: ) bifurcation diagram; b) phases of valuable information's evolution – «mosaic» (I), «parquet» (II), transition to “the ...
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p adic difference difference Lotka Volterra equation and ultra discrete limit
... Abstract. We study the difference-difference Lotka-Volterra equations in p-adic number space and its p-adic valuation version. We point out that the structure of the space given by taking the ultra-discrete ...
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Almost periodic solution for a delayed Lotka Volterra system on time scales
... delayed Lotka-Volterra system on time scales by using the theory of exponential dichotomy on time scales, fixed point theory based on monotone operator and Lyapunov ...
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Non permanence for three species Lotka Volterra cooperative difference systems
... tensity of intra-specific competition or the interspecific competition. These equations are also called the discrete-time Lotka-Volterra systems. Permanence is an important concept of mathematical biology ...
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Global attractor of coupled difference equations and applications to Lotka Volterra systems
... solutions of (1.1) for three different types of quasimonotone functions. The asymptotic behavior of the solution is treated in Section 4 where su ffi cient conditions are obtained for ensuring the global attraction of a ...
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Synchronization control of stochastic delayed Lotka–Volterra systems with hardware simulation
... In this paper, the synchronization control of a non-autonomous Lotka–Volterra system with time delay and stochastic effects is studied. The purpose is to firstly establish sufficient conditions for the ...
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Population dynamical behavior of Lotka-Volterra system under regime switching
... prey Lotka-Volterra system with regime switching and revealed a very interesting and surprising result: If two equilibrium states of the subsystems are different, all positive trajectories of this system ...
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The Stability of Some Systems of Harvested Lotka-Volterra Predator-Prey Equations
... (2.2) which is known as the Lotka-Volterra model with having constant prey harvesting. Its equilibrium points are ( h a , 0) , ( d c , a b − dh cb ) where ah > cd. Since the eigenvalues corresponding ...
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Global stability in n dimensional discrete Lotka Volterra predator prey models
... There are few theoretical works on global stability of Euler difference schemes for two-dimensional Lotka-Volterra predator-prey models. Furthermore no attempt is made to show that the Euler schemes have ...
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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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Permanence and global attractivity in a discrete Lotka Volterra predator prey model with delays
... In this paper, we have investigated the dynamic behavior of a discrete Lotka-Volterra predator-prey model with time-varying delays. Sufficient conditions which ensure the per- manence of the system are ...
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Stability and approximate analytic solutions of the fractional Lotka Volterra equations for three competitors
... The rest of paper is organized as follows. In Section , we briefly give some prelimi- naries. In Section , we will study the equilibrium points, asymptotic stability, and the approximate analytic solutions for the ...
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Integrability and linearizability for Lotka Volterra systems with the 3:−q resonant saddle point
... The algorithm of Theorem . and Theorem . gives a method to determine lineariz- able systems and find the necessary conditions for system (). By applying the recursive formulas, the authors of [] verify the ...
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Asymptotic behavior and numerical simulations of a Lotka Volterra mutualism system with white noises
... The relationship between organisms and their living environments is very close in the na- ture, a small change of ecological environment usually could lead to a great influence on the organisms. On the other hand, there ...
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Feedback control effect on the Lotka Volterra prey predator system with discrete delays
... nonautonomous Lotka-Volterra competitive system with pure delays and feedback controls, and by simulation they found that suitable feed- back control variables can transform extinct species into ...
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Asymptotic properties of a stochastic Lotka–Volterra model with infinite delay and regime switching
... The framework of this paper will go as follows. We will show that the existence and uniqueness of the positive global solution always holds with probability one for any pos- itive initial value in the next section. ...
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Dynamic behaviors of Lotka–Volterra predator–prey model incorporating predator cannibalism
... Based on the traditional Lotka–Volterra predator–prey model, we propose and study a predator–prey model with predator cannibalism in this paper. We have investigated the local and global stability of the ...
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