JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (9): 62-68.doi: 10.6040/j.issn.1671-9352.0.2019.124

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Analysis of a stochastic single population system with age-dependent and diffusion in a polluted environment

HU Yong-liang, LUO Zhi-xue, LIANG Li-yu, FENG Yu-xing   

  1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China
  • Online:2019-09-20 Published:2019-07-30

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Abstract: A new stochastic single population system with age-dependent and diffusion in a polluted environment is formulated and investigated. The existence and uniqueness of the solution of this stochastic system is obtained via It(^overo)s formula in Hilbert space. The general stochastic biological population model with age structure and diffusion is extended by adding toxicant to the population.

Key words: stochastic, age-dependent, population system, polluted environment, diffusion

CLC Number: 

  • O175.1
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