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Chenggui Yuan - One of the best experts on this subject based on the ideXlab platform.

  • competitive lotka volterra Population Dynamics with jumps
    Nonlinear Analysis-theory Methods & Applications, 2011
    Co-Authors: Chenggui Yuan
    Abstract:

    Abstract This paper considers competitive Lotka–Volterra Population Dynamics with jumps. The contributions of this paper are as follows. (a) We show that a stochastic differential equation (SDE) with jumps associated with the model has a unique global positive solution; (b) we discuss the uniform boundedness of the p th moment with p > 0 and reveal the sample Lyapunov exponents; (c) using a variation-of-constants formula for a class of SDEs with jumps, we provide an explicit solution for one-dimensional competitive Lotka–Volterra Population Dynamics with jumps, and investigate the sample Lyapunov exponent for each component and the extinction of our n -dimensional model.

  • competitive lotka volterra Population Dynamics with jumps
    arXiv: Probability, 2011
    Co-Authors: Chenggui Yuan
    Abstract:

    This paper considers competitive Lotka-Volterra Population Dynamics with jumps. The contributions of this paper are as follows. (a) We show stochastic differential equation (SDE) with jumps associated with the model has a unique global positive solution; (b) We discuss the uniform boundedness of $p$th moment with $p>0$ and reveal the sample Lyapunov exponents; (c) Using a variation-of-constants formula for a class of SDEs with jumps, we provide explicit solution for 1-dimensional competitive Lotka-Volterra Population Dynamics with jumps, and investigate the sample Lyapunov exponent for each component and the extinction of our $n$-dimensional model.

Naoki Nakatani - One of the best experts on this subject based on the ideXlab platform.

  • Study on the Formulation of Fish Population Dynamics Model Using Statistical Data
    2018 OCEANS - MTS IEEE Kobe Techno-Oceans (OTO), 2018
    Co-Authors: Naoki Nakatani, Iori Masuda
    Abstract:

    Fish Population Dynamics model is deemed to be effective to grasp the fishery resources in coast, which are the important food supplies for us. However, the influence from complex environmental conditions of coastal sea area is not supposed to be neglected. PDLS model was developed to estimate fish Population Dynamics where the relationship between environmental fluctuation and biomass change was extracted qualitatively by Optimal Transformation (OT) method from monitoring data. If we are to better understand the Dynamics correctly, we must be cautious to find an appropriate formulation method to characterize the kind of relationship for accurate estimation. This study aimed to formulate the relationship between environmental fluctuation and fish Population Dynamics extracted by OT method from measurement data. This paper suggested restoring real response from the OT results based on the algorithm of OT and using multiple functions to explain the response characteristics. The results indicated that this formulation method was more effective to point out the underlying association from data than existing method and it is potential to find out the mechanism of response and make contribution to estimation on coastal fish Population Dynamics.

  • Study on the formulation of fish Population Dynamics model using statistical data
    2016 Techno-Ocean (Techno-Ocean), 2016
    Co-Authors: Naoki Nakatani, Yohei Tsukahara
    Abstract:

    The fish Population Dynamics model is made to grasp fishery resources utilization in coastal and it is beneficial to sustainable fisheries management and conservation of coastal ecosystem. Meanwhile, the relationship between fish Population Dynamics and factors of environmental conditions, either positive effects or negative effects, should not be neglected. In this study, it discussed formulations about composite responses among environmental factors extracted by Optimal Transformations method to determine how those environmental factors influence on fish Population Dynamics. Based on the results, it indicated formulating as a combination of functions might be realizable to find out mechanism of environmental factors on Population Dynamics.

Canan Çelik - One of the best experts on this subject based on the ideXlab platform.

Ömer Akin - One of the best experts on this subject based on the ideXlab platform.

Ju Rong - One of the best experts on this subject based on the ideXlab platform.

  • Review on insect Population Dynamics simulation models
    Acta Ecologica Sinica, 2020
    Co-Authors: Ju Rong
    Abstract:

    Insects,the largest group of animals in the world,are closely related with human beings.Quantitative forecasting of insect Population Dynamics and rational management of insect Populations,based on economic and ecologic laws,are always ranked highly in scientific and technological researches.Simulation of insect Dynamics is the prerequisite base of pest management.In the last ten years,both theoretical and experimental researches on simulation models of insect Population Dynamics have been progressing very rapidly either in China or overseas.The paper just makes efforts to review these researches from two regards, single species and multiple species.For the first regard,two aspects are reviewed.One is on the so-called Logistic equation,which is the simplest model to simulate insect Population Dynamics.The research on Logistic equation focuses mainly on modification of the basic equation under new conditions,parameter fitting to experimental data,the optimal strategies for harvesting insects by the Logistic law,and so on.Another aspect is on matrix models,which are frequently used to simulate insect Population Dynamics.Studies on matrix models focus on the influence of some problems on insects Population Dynamics.The problems mainly include the optimal dimension of matrix,relationship between the dimension and the development period of insects,differences in individual growth,differences in the development rates,and so on.For the second regard,also two aspects are reviewed,on modeling of Population Dynamics for multiple species and on application of the models.Finally,the future direction of researches on simulation of insect Population Dynamics is discussed in detail.That is,automatic logging of experimental data should be realized to replace artificial data collection to large extent.Then the data can be used to build a database of insect Population Dynamics for the development of simulation models toward their visual and convenient operations.This modeling database can be developed by visual programming language,in addition to advanced algorithms.All kinds of elements such as divers species and various environmental conditions can be abstracted as "classes".And relations between individuals within an insect Population and between insect Population and the environment can be expressed by the message delivering.The model database can make the monitoring and forecasting of insect Population Dynamics be visual,more simple and precise.