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随机种群模型数值解的均方散逸性

Mean-Square Dissipativity of two Numerical Methods for Stochastic Age-Dependent Population Equations with Jumps
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摘要 讨论了随机种群模型数值解的均方散逸性,基于步长受限制和无限制的两种条件,利用补偿的和无补偿的数值方法研究了随机种群模型数值解的均方散逸性.从而得出补偿的数值算法更适合解决随机种群模型数值解的均方散逸性问题. In this paper,we consider mean-square dissipativity of two numerical methods for stochastic age-dependent population equations with jumps.Based on the step length under the condition of hmited and unlimited,it is essential for studying the mean-square dissipativity to use two numerical methods for stochastic age-dependent population equations with jumps.Finally,it is concluded that compensated numerical methods is more suitable for solving problems of mean-square dissipativity about stochastic age-dependent population equations with jumps.
作者 杨莉 张启敏
出处 《数学的实践与认识》 北大核心 2016年第11期236-242,共7页 Mathematics in Practice and Theory
基金 国家自然科学基金(11461053 11261043)
关键词 随机种群模型 数值算法 补偿的数值算法 均方散逸性 age-dependent population models numerical methods compensated numerical methods mean-square dissipativity
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  • 1LI Shoufu.Stability analysis of solutions to nonlinear stiff Volterra functional differential equations in Banach spaces[J].Science China Mathematics,2005,48(3):372-387. 被引量:20
  • 2Zhang Q, Rathinasamy A. Convergence of numerical solutions for a class of stochastic age-dependent capital system with random jump magnitudes[J]. Applied Mathematics and Computation, 2013, 219: 7297-7305. 被引量:1
  • 3Zhang Q, Wei D. Necessary and sufficient conditions for near-optimal harvesting control problem of stochastic age-dependent system[J]. Applied Mathematics and Computation, 2013, 221: 394-402. 被引量:1
  • 4Zhang Q, Han C. Existence and uniqueness for a stochastic age-structured population system with diffusion[J]. Applied Mathematical Modelling, 2008, 32: 2197-2206. 被引量:1
  • 5Li R, Leung P, Pang W. Convergence of numerical solutions to stochastic age-dependent population equations with Markovian switching[J]. Journal of Computationaland Applied Mathematics, 2009, 233: 1046-1055. 被引量:1
  • 6Wang L, Wang X. Convergence of the semi-implicit Euler method for stochastic age-dependent population equations with Poisson jumps[J]. Applied Mathematical Modelling, 2010, 34:2034-2043. 被引量:1
  • 7Feng Y. Fuzzy stochastic differential systems[J]. Fuzzy Sets and Systems, 2000, 115: 351-363. 被引量:1
  • 8M.T. Malinowski, Strong solutions to stochastic fuzzy differential equations of It6 type[J]. Mathe- matical and Computer Modelling, 2012, 55: 918-928. 被引量:1
  • 9M.T. Malinowski, It6 type stochastic fuzzy differential equations with delay[J]. Systems&: Control Letters, 2012, 61: 692-701. 被引量:1
  • 10Fei W. Existence and uniqueness for solutions to fuzzy stochastic differential equations driven by local martingales under the non-Lipschitzian condition[J]. Nonlinear Analysis, 2013, 76: 202-214. 被引量:1

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