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Analysis of a Three Species Eco-Epidemiological Model

✍ Scribed by Yanni Xiao; Lansun Chen

Book ID
102595844
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
153 KB
Volume
258
Category
Article
ISSN
0022-247X

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✦ Synopsis

This paper formulates and analyzes a predator᎐prey model with disease in the prey. Mathematical analyses of the model equations with regard to invariance of nonnegativity, boundedness of solutions, nature of equilibria, permanence, and global stability are analyzed. It is also shown that for some parameter values, the positive equilibrium is asymptotically stable, but for other parameter values, it is unstable and a surrounding periodic solution appears by Hopf bifurcation. A concluding discussion with numerical simulation is then presented.

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