Journal
BIOSYSTEMS
Volume 114, Issue 2, Pages 98-117Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.biosystems.2013.06.002
Keywords
Predator prey models; Transmissible disease in predator; Intra-specific competition among the predator; Limit cycles; Biological implications
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The-current paper deals with the mathematical models-of predator-prey system where a transmissible disease spreads among the predator species only. Four mathematical models are proposed and analysed with several popular predator functional responses in order to show the influence of functional response on eco-epidemic models. The existence, boundedness, uniqueness of solutions of all the models are established. Mathematical analysis including stability and bifurcation are observed. Comparison among the results of these models allows the general conclusion that relevant behaviour of the eco-epidemic predator-prey system, including switching of stability, extinction, persistence and oscillations for any species depends on four important parameters viz, the rate of infection, predator interspecies competition and the attack rate on susceptible predator. The paper ends with a discussion of the biological implications of the analytical and numerical results. (C) 2013 Elsevier Ireland Ltd. All rights reserved.
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