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An incubating diseased-predator ecoepidemic model

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Abstract

We present a model for transmissible diseases spreading among predators in a predator–prey system. Upon successful contact, a susceptible individual becomes infected but is not yet able to spread the disease further. After an incubation period, the diseased individual becomes infectious. We investigate the system’s equilibria by analytical and numerical means. For a suitable set of parameter values, the system shows persistent oscillations. The model also exhibits bistability of the coexistence equilibrium with the prey-only equilibrium.

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Acknowledgements

The authors thank the referees for their suggestions that contributed to improve the paper. The authors are also indebted to Frank Hilker for a very useful discussion on this matter and for providing Fig. 7.

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Authors and Affiliations

  1. Department of Mathematics “Giuseppe Peano”, Università di Torino, via Carlo Alberto 10, 10123, Torino, Italy

    Chiara Tannoia, Emiliano Torre & Ezio Venturino

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  1. Chiara Tannoia
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  2. Emiliano Torre
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  3. Ezio Venturino
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Correspondence to Ezio Venturino.

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All the authors contributed equally to this paper.

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Tannoia, C., Torre, E. & Venturino, E. An incubating diseased-predator ecoepidemic model. J Biol Phys 38, 705–720 (2012). https://doi.org/10.1007/s10867-012-9281-9

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  • DOI: https://doi.org/10.1007/s10867-012-9281-9

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