Premium
Impact on the predator population while lethal disease spreads in the prey
Author(s) -
Chen Yongxue,
Wen Yongxian
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3737
Subject(s) - predation , predator , population , mathematics , persistence (discontinuity) , stability (learning theory) , infectious disease (medical specialty) , ecosystem , bifurcation , ecology , biology , disease , demography , computer science , engineering , medicine , pathology , machine learning , physics , nonlinear system , quantum mechanics , sociology , geotechnical engineering
An eco‐epidemiological model is proposed to interpret the impact of an infectious disease on ecosystem, where prey is infected by lethal bacteria and the consumption of infected prey contributes to the negative growth of predator population. Of course, the required time delay is incorporated into the model. The biodiversity conservation is concerned. Stability, persistence, and bifurcation are carried out. Finally, numerical simulations are performed to support the theoretical analysis. Copyright © 2016 John Wiley & Sons, Ltd.