Geodesic
Lotka-Volterra type predator-prey models: Comparison of hidden and explicit resources with a transmissible disease in the predator species
Applications of Mathematics, Tome 63 (2018) no. 5, pp. 569-600 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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The paper deals with two mathematical models of predator-prey type where a transmissible disease spreads among the predator species only. The proposed models are analyzed and compared in order to assess the influence of hidden and explicit alternative resource for predator. The analysis shows boundedness as well as local stability and transcritical bifurcations for equilibria of systems. Numerical simulations support our theoretical analysis.
The paper deals with two mathematical models of predator-prey type where a transmissible disease spreads among the predator species only. The proposed models are analyzed and compared in order to assess the influence of hidden and explicit alternative resource for predator. The analysis shows boundedness as well as local stability and transcritical bifurcations for equilibria of systems. Numerical simulations support our theoretical analysis.
DOI : 10.21136/AM.2018.0158-18
Classification : 34A34, 92D25, 92D40
Keywords: hidden prey; explicit prey; bifurcation; predator-prey model 
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     author = {Assis, Luciana and Banerjee, Malay and Cecconello, Moiseis and Venturino, Ezio},
     title = {Lotka-Volterra type predator-prey models: {Comparison} of hidden and explicit resources with a transmissible disease in the predator species},
     journal = {Applications of Mathematics},
     pages = {569--600},
     year = {2018},
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     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.2018.0158-18/}
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Assis, Luciana; Banerjee, Malay; Cecconello, Moiseis; Venturino, Ezio. Lotka-Volterra type predator-prey models: Comparison of hidden and explicit resources with a transmissible disease in the predator species. Applications of Mathematics, Tome 63 (2018) no. 5, pp. 569-600. doi: 10.21136/AM.2018.0158-18

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