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

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.

journal_name

Math Biosci

journal_title

Mathematical biosciences

authors

Jiang Y,Zhang Q,Wang H

doi

10.1016/j.mbs.2016.04.012

subject

Has Abstract

pub_date

2016-07-01 00:00:00

pages

141-52

eissn

0025-5564

issn

1879-3134

pii

S0025-5564(16)30044-X

journal_volume

277

pub_type

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