Modeling boyciana-fish-human interaction with partial differential algebraic equations

Yushan Jiang, Qingling Zhang, Haiyan Wang

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

Under the influence of human population distribution, the boyciana-fish ecological system is considered. First, the system can be described as a nonlinear partial differential algebraic equations system (PDAEs) with Neumann boundary conditions and ratio-dependent functional response. Second, we examine the system's persistence properties: the loacl stabilities of positive steady states, the absorbtion region and the global stability. And the proposed approach is illustrated by numerical simulation. Finally, by using the realistic data collected in the past fourteen years, the PDAEs parameter optimization model is built to predict the boyciana population.

Original languageEnglish (US)
Pages (from-to)141-152
Number of pages12
JournalMathematical Biosciences
Volume277
DOIs
Publication statusPublished - Jul 1 2016

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Keywords

  • Nonlinear singular system
  • PDE prediction
  • Reaction-diffusion process
  • Stability

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistics and Probability
  • Modeling and Simulation
  • Agricultural and Biological Sciences(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Medicine(all)

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