Analysis of a Three Species Eco-Epidemiological Model☆☆☆

By Yanni Xiao, Lansun Chen. 2001

90 citations recorded by the source corpus.

Abstract 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.

Subfields: Genetics, Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/bdbb07148bfd3e8e15f067f053181bb19227995b

Citations in the corpus

• A Leslie-Gower predator-prey model with disease in prey incorporating a prey refuge (2015, unknown): “[18–20,22], Xiao and Chen [64,65], Zhou et al.”