Global stability analysis of an eco-epidemiological model of the salton sea

Zhen Jin; Mainul Haque

doi:10.1142/S021833900600191X

Global stability analysis of an eco-epidemiological model of the salton sea

Zhen Jin, Mainul Haque

Research output: Journal Publication › Article › peer-review

12 Citations (Scopus)

Abstract

The Salton Sea, the largest lake of California, is now facing problems due to its massive fish and bird mortality. Haque and Chattopadhyay have proposed and analyzed an eco-epidemiological model on Salton Sea. The present article deals with the global stability analysis of the positive interior equilibrium of that eco-epidemiological model. We use the geometric approach to the global stability analysis for ordinary differential equations which is based on the use of higher-order generalization of Bendixson's criterion. Our conclusion is that for persistence of the pelican (main predator) populations in Salton Sea, harvesting of tilapia (specially infected) populations is an utmost important factor.

Original language	English
Pages (from-to)	373-385
Number of pages	13
Journal	Journal of Biological Systems
Volume	14
Issue number	3
DOIs	https://doi.org/10.1142/S021833900600191X
Publication status	Published - Sept 2006
Externally published	Yes

Keywords

Compound Matrices
Global Stability
Infected Tilapia
Pelicans
Susceptible Tilapia

ASJC Scopus subject areas

Ecology
Agricultural and Biological Sciences (miscellaneous)
Applied Mathematics

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10.1142/S021833900600191X

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title = "Global stability analysis of an eco-epidemiological model of the salton sea",

abstract = "The Salton Sea, the largest lake of California, is now facing problems due to its massive fish and bird mortality. Haque and Chattopadhyay have proposed and analyzed an eco-epidemiological model on Salton Sea. The present article deals with the global stability analysis of the positive interior equilibrium of that eco-epidemiological model. We use the geometric approach to the global stability analysis for ordinary differential equations which is based on the use of higher-order generalization of Bendixson's criterion. Our conclusion is that for persistence of the pelican (main predator) populations in Salton Sea, harvesting of tilapia (specially infected) populations is an utmost important factor.",

keywords = "Compound Matrices, Global Stability, Infected Tilapia, Pelicans, Susceptible Tilapia",

author = "Zhen Jin and Mainul Haque",

note = "Funding Information: This work was conducted when the second author, M. Haque, visited the North University of China, P. R. China, under the financial support of the National Natural Science Foundation of China (10471040). M. Haque is also thankful to Professor J. Chattopadhyay (Indian Statistical Institute, Kolkata, India) for his encouragement when working on the problems of the Salton Sea. Both the authors are grateful to the referees for their constructive criticisms and valuable suggestions which were integral in improving the quality of this article.",

year = "2006",

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doi = "10.1142/S021833900600191X",

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AU - Jin, Zhen

AU - Haque, Mainul

N1 - Funding Information: This work was conducted when the second author, M. Haque, visited the North University of China, P. R. China, under the financial support of the National Natural Science Foundation of China (10471040). M. Haque is also thankful to Professor J. Chattopadhyay (Indian Statistical Institute, Kolkata, India) for his encouragement when working on the problems of the Salton Sea. Both the authors are grateful to the referees for their constructive criticisms and valuable suggestions which were integral in improving the quality of this article.

PY - 2006/9

Y1 - 2006/9

N2 - The Salton Sea, the largest lake of California, is now facing problems due to its massive fish and bird mortality. Haque and Chattopadhyay have proposed and analyzed an eco-epidemiological model on Salton Sea. The present article deals with the global stability analysis of the positive interior equilibrium of that eco-epidemiological model. We use the geometric approach to the global stability analysis for ordinary differential equations which is based on the use of higher-order generalization of Bendixson's criterion. Our conclusion is that for persistence of the pelican (main predator) populations in Salton Sea, harvesting of tilapia (specially infected) populations is an utmost important factor.

AB - The Salton Sea, the largest lake of California, is now facing problems due to its massive fish and bird mortality. Haque and Chattopadhyay have proposed and analyzed an eco-epidemiological model on Salton Sea. The present article deals with the global stability analysis of the positive interior equilibrium of that eco-epidemiological model. We use the geometric approach to the global stability analysis for ordinary differential equations which is based on the use of higher-order generalization of Bendixson's criterion. Our conclusion is that for persistence of the pelican (main predator) populations in Salton Sea, harvesting of tilapia (specially infected) populations is an utmost important factor.

KW - Compound Matrices

KW - Global Stability

KW - Infected Tilapia

KW - Pelicans

KW - Susceptible Tilapia

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DO - 10.1142/S021833900600191X

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SN - 0218-3390

VL - 14

SP - 373

EP - 385

JO - Journal of Biological Systems

JF - Journal of Biological Systems

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ER -

Global stability analysis of an eco-epidemiological model of the salton sea

Abstract

Keywords

ASJC Scopus subject areas

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