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.
authors.affiliation: Institute of System Science, Northeastern University, Shenyang, China; School of Mathematics and Statistics, Northeastern University at Qinhuangdao, Qinhuangdao, China. Electronic address: jys@neuq.edu.cn.
authors.forename: Yushan
authors.initials: Y
authors.lastname: Jiang
authors.affiliation: Institute of System Science, Northeastern University, Shenyang, China. Electronic address: qlzhang@mail.neu.edu.cn.
authors.forename: Qingling
authors.initials: Q
authors.lastname: Zhang
authors.affiliation: School of Mathematical & Natural Sciences, Arizona State University, USA. Electronic address: Haiyan.Wang@asu.edu.
authors.forename: Haiyan
authors.initials: H
authors.lastname: Wang
mesh_terms: D000818:Animals; D001717:Birds; D005399:Fishes; D020387:Food Chain; D006801:Humans; D008962:Models, Theoretical
keywords: Nonlinear singular system; PDE prediction; Reaction-diffusion process; Stability