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Role of environmental disturbance in an eco‐epidemiological model with disease from external source
Author(s) -
Das Krishna pada,
Chattopadhyay J.
Publication year - 2012
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.1571
Subject(s) - predation , disturbance (geology) , extinction (optical mineralogy) , predator , population , transmission (telecommunications) , ecology , mathematics , consumption (sociology) , econometrics , biology , control theory (sociology) , computer science , environmental health , control (management) , medicine , artificial intelligence , paleontology , telecommunications , social science , sociology
An eco‐epidemiological model with random environmental disturbance is proposed and analyzed. We assume that the susceptible prey population can acquire infection both from external sources and from internal transmission of the disease. It is also assumed that there is no recovery of the disease, and the consumption of diseased prey has a deleterious effect on the predator population. The conditions for the extinction of the predator and the prey populations are worked out. The most important observation of the present investigation is that oscillatory behavior of the populations observed in deterministic framework undergoes stable coexistence in the stochastic framework. Copyright © 2012 John Wiley & Sons, Ltd.