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Lotka-Volterra model

Semiotic Interpretation of Lotka–Volterra Model and its Usage in Knowledge Management

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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Asymptotic behaviour of the stochastic Lotka-Volterra model

Asymptotic behaviour of the stochastic Lotka-Volterra model

... types of Lyapunov functions to discuss the asymptotic behaviour in some detail. Several moment and pathwise asymptotic estimators are obtained. These essentially enhance each other, so that they can be used to reveal ...

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A  nonstandard finite difference scheme for solving three-species food chain with fractional-order Lotka-Volterra model

A nonstandard finite difference scheme for solving three-species food chain with fractional-order Lotka-Volterra model

... the model that describes Lotka-Volterra system and also stability theorem and fractional Routh-Hurwitz stability conditions are given for the local asymptotic stability of the fractional ...order ...

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Maximum likelihood estimation for stochastic Lotka–Volterra model with jumps

Maximum likelihood estimation for stochastic Lotka–Volterra model with jumps

... competitive LotkaVolterra population model with Lévy jumps, see also Bao et ...stochastic LotkaVolterra model driven by α-stable noise, they got a unique positive strong ...

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Qualitative properties of a cooperative degenerate Lotka Volterra model

Qualitative properties of a cooperative degenerate Lotka Volterra model

... of population dynamics. For example, Vishnevski˘ı [] studied the behavior at large time of solutions to mixed problems for weakly connected cooperative parabolic systems and obtained the monotonicity of the solutions. ...

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Application of Lotka-Volterra model to analyse Cloud behavior and optimise resource allocation on Cloud

Application of Lotka-Volterra model to analyse Cloud behavior and optimise resource allocation on Cloud

... biological model called Lotka- Volterra (Predator-Prey model) to control the cloud system for stabilising the optimal provisioning of ...resources. Lotka-Volterra is one of the ...

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Asymptotic properties of a stochastic Lotka–Volterra model with infinite delay and regime switching

Asymptotic properties of a stochastic Lotka–Volterra model with infinite delay and regime switching

... stochastic LotkaVolterra model with infinite delay and Markovian chains on a finite state ...stochastic model admits a unique positive global solution which stays in the way of stochastically ...

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Goodwin’s Lotka Volterra Model in Disaggregative Form: A Note

Goodwin’s Lotka Volterra Model in Disaggregative Form: A Note

... Goodwin’s Lotka-Volterra model (G-L-V hereafter) can be written in disaggregative ...this model and show that the behavior of the model depends on the eigenvalues of material input ...

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Stochastic Delay Lotka Volterra Model

Stochastic Delay Lotka Volterra Model

... This paper examines the asymptotic behaviour of the stochastic extension of a fundamentally important population process, namely the delay Lotka-Volterra model. The stochastic version of this process ...

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Stochastic delay Lotka-Volterra model

Stochastic delay Lotka-Volterra model

... In a population dynamical system, the nonexplosion property is often not good enough but the property of ultimate boundedness is more desired. The conditions for the ultimate boundedness are much more complicated than ...

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Dynamics of a discrete Lotka Volterra model

Dynamics of a discrete Lotka Volterra model

... discrete Lotka-Volterra models have many applications in applied ...the Lotka-Volterra predator-prey model have been proposed that offer more realistic descriptions of the interactions ...

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Positive periodic solution of a discrete obligate Lotka-Volterra model

Positive periodic solution of a discrete obligate Lotka-Volterra model

... As was pointed out by Fan and Wang [4], the discrete time models governed by differ- ence equations are more appropriate than the continuous ones when the populations have non- overlapping generations. Recently, Xie, ...

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Impact of Harvesting in Three Species Food Web Model With Two Distinct Functional Responses

Impact of Harvesting in Three Species Food Web Model With Two Distinct Functional Responses

... ecology. Lotka- Volterra model describes interaction between two species in an ecosystem, a predator and a ...The model was developed independently by Lotka [9] and Volterra ...

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A two species amensalism model with non-monotonic functional response

A two species amensalism model with non-monotonic functional response

... It bring to our attention that all of the above works are based on the traditional Lotka-Volterra model, which suppose that the influence of the second species to the first one is linearize. This may ...

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Asymptotic Stability of Solutions of Lotka Volterra Predator Prey  Model for Four Species

Asymptotic Stability of Solutions of Lotka Volterra Predator Prey Model for Four Species

... The Lotka-Volterra model provides a nice mathematical device to study and understand complex systems of mutually interacting species or agent ...decades, Lotka-Volterra type systems ...

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Exclusions, Explanations, and Exceptions: On the Causal and Lawlike Status of the Competitive Exclusion Principle

Exclusions, Explanations, and Exceptions: On the Causal and Lawlike Status of the Competitive Exclusion Principle

... There are two issues that must be distinguished: first, answering what it means for a higher-level causal explanation to count as explanatory at all and, second, addressing how good the explanations offered are. ...

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The Stability of Some Systems of Harvested Lotka-Volterra Predator-Prey Equations

The Stability of Some Systems of Harvested Lotka-Volterra Predator-Prey Equations

... of Lotka-Volterra model and also the harvest factor is located in the area intR 2 + = {(x, y)|x, y > ...standard Lotka-Volterra model has been widely investigated ...of ...

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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

... above model are based on the traditional Lotka-Volterra model, which suppose that the influence of the second species to the first one is ...symbiosis model with non-monotonic ...

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Multi-Specie Lotka-Volterra Predator-Prey Model with Environmental Stochasticity

Multi-Specie Lotka-Volterra Predator-Prey Model with Environmental Stochasticity

... the Lotka-Volterra system of differential equations deal exclusively with deterministic events when in reality, the complex interactions that occur in real life can be best described in terms of a ...

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An Analysis on The Lotka-Volterra Food Chain Model: Stability

An Analysis on The Lotka-Volterra Food Chain Model: Stability

... Abstract. The food chain refers to a natural system by which energy is transmitted from one organism to another. In fact, a food chain consists of producers, consumers and decomposition. Pres- ence of complex food web ...

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