Establishment and fecundity in spatial ecological models: Statistical approach and kinetic equations

Finkelshtein D.; Kondratiev Y.; Kutoviy O.

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Establishment and fecundity in spatial ecological models: Statistical approach and kinetic equations

机译：空间生态模型的建立和繁殖：统计方法和动力学方程

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We consider spatial population dynamics given by Markov birth-and-death process with constant mortality and birth influenced by establishment or fecundity mechanisms. The independent and density dependent dispersion of spreading are studied. On the base of general methods of Ref. 14, we construct the state evolution of considered microscopic ecological systems. We analyze mesoscopic limit for stochastic dynamics under consideration. The corresponding Vlasov-type non-linear kinetic equations are derived and studied.

机译：我们考虑由马尔可夫生与死过程给出的空间人口动态，其恒定的死亡率和出生受建立或生育力机制的影响。研究了扩展的独立和密度相关色散。在参考的一般方法的基础上。参照图14，我们构建了考虑的微观生态系统的状态演化。我们分析所考虑的随机动力学的介观极限。推导并研究了相应的Vlasov型非线性动力学方程。

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《Infinite dimensional analysis, quantum probability, and related topics》 |2013年第2期|共24页
作者
Finkelshtein D.; Kondratiev Y.; Kutoviy O.;
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正文语种 eng
中图分类物理学;
关键词
establishment; fecundity; individual based models; Spatial birth-and-death processes; Vlasov-type equation;

机译：建立;生育力;个体模型;空间生死过程;Vlasov型方程;

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1. Establishment and fecundity in spatial ecological models: Statistical approach and kinetic equations [J] . Finkelshtein D., Kondratiev Y., Kutoviy O. Infinite dimensional analysis, quantum probability, and related topics . 2013,第2期

机译：空间生态模型的建立和繁殖：统计方法和动力学方程
2. Use of dynamically adaptive grid techniques for the solution of electrochemical kinetic equations Part 10. Extension of the patch-adaptive strategy to kinetic models involving spatially localised unknowns at the boundaries, multiple space intervals, [J] . L. K. Bieniasz Journal of Electroanalytical Chemistry: An International Journal Devoted to All Aspects of Electrode Kinetics, Interfacial Structure, Properties of Electrolytes, Colloid and Biological Electrochemistry . 2002,第1a2期

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3. Use of dynamically adaptive grid techniques for the solution of electrochemical kinetic equations Part 5. A finite-difference, adaptive space/time grid strategy based on a patch-type local uniform spatial grid refinement, for kinetic models in one-di [J] . L.K. Bieniasz Journal of Electroanalytical Chemistry: An International Journal Devoted to All Aspects of Electrode Kinetics, Interfacial Structure, Properties of Electrolytes, Colloid and Biological Electrochemistry . 2000,第2期

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4. Statistical analysis of flow equations for mathematic ecological models [C] . J.A.Lopez, J.Mateu, J.Castello, International conference on ecosystems and sustainable development . 1998

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7. Establishment and fecundity in spatial ecological models: statistical approach and kinetic equations [O] . Finkelshtein, Dmitri 2013

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8. Statistical approach to LHCD modeling using the wave kinetic equation. [R] . Kupfer, K., Moreau, D., Litaudon, X. 1993

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Establishment and fecundity in spatial ecological models: Statistical approach and kinetic equations

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