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

Yushan Jiang; Qingling Zhang; Haiyan Wang

doi:10.1016/j.mbs.2016.04.012

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

Yushan Jiang, Qingling Zhang, Haiyan Wang

Mathematical and Natural Sciences, School of (SMNS)

Research output: Contribution to journal › Article › peer-review

3 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 language	English (US)
Pages (from-to)	141-152
Number of pages	12
Journal	Mathematical Biosciences
Volume	277
DOIs	https://doi.org/10.1016/j.mbs.2016.04.012
State	Published - 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

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10.1016/j.mbs.2016.04.012

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title = "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.",

keywords = "Nonlinear singular system, PDE prediction, Reaction-diffusion process, Stability",

author = "Yushan Jiang and Qingling Zhang and Haiyan Wang",

note = "Funding Information: The research is supported by N.N.S.F. of China under Grant nos. 61273008 and 61104003 . The research is also supported by State Key Laboratory of Synthetical Automation for Process Industries (Northeastern University) No. 1992 and Program for New Century Excellent Talents in University No. NCET120103 . Publisher Copyright: {\textcopyright} 2016 Elsevier Inc.",

year = "2016",

month = jul,

day = "1",

doi = "10.1016/j.mbs.2016.04.012",

language = "English (US)",

volume = "277",

pages = "141--152",

journal = "Mathematical Biosciences",

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T1 - Modeling boyciana-fish-human interaction with partial differential algebraic equations

AU - Jiang, Yushan

AU - Zhang, Qingling

AU - Wang, Haiyan

N1 - Funding Information: The research is supported by N.N.S.F. of China under Grant nos. 61273008 and 61104003 . The research is also supported by State Key Laboratory of Synthetical Automation for Process Industries (Northeastern University) No. 1992 and Program for New Century Excellent Talents in University No. NCET120103 . Publisher Copyright: © 2016 Elsevier Inc.

PY - 2016/7/1

Y1 - 2016/7/1

N2 - 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.

AB - 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.

KW - Nonlinear singular system

KW - PDE prediction

KW - Reaction-diffusion process

KW - Stability

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SN - 0025-5564

VL - 277

SP - 141

EP - 152

JO - Mathematical Biosciences

JF - Mathematical Biosciences

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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