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

Yushan Jiang, Qingling Zhang, Haiyan Wang

Research output: Contribution to journalArticlepeer-review

2 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
StatePublished - Jul 1 2016

Keywords

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

ASJC Scopus subject areas

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

Fingerprint Dive into the research topics of 'Modeling boyciana-fish-human interaction with partial differential algebraic equations'. Together they form a unique fingerprint.

Cite this