Prey-predator models with infected prey and predators

J. Gani; R. J. Swift

doi:10.3934/dcds.2013.33.5059

Article Contents

2013, Volume 33, Issue 11&12: 5059-5066. Doi: 10.3934/dcds.2013.33.5059

This issue Previous Article On the Ornstein Uhlenbeck operator perturbed by singular potentials in $L^p$--spaces Next Article On a class of model Hilbert spaces

Prey-predator models with infected prey and predators

J. Gani^1, and
R. J. Swift^2,

1.
Mathematical Sciences Institute, Australian National University, Canberra ACT 0200
2.
Department of Mathematics and Statistics, California State Polytechnic University, Pomona, Pomona, CA 91768

Received: February 2012

Revised: March 2012

Published: November 2013

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Abstract

Some deterministic models for prey and predators are considered, when both may become infected, the infection of the prey being either of the SIS or SIR type. We also study a simplified model for surviving predators.

Keywords:

Mathematics Subject Classification: Primary: 92D25; Secondary: 34A34.

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References

[1]	N. Bairagi and J. Chattopadhyay, The evolution on eco-epidemiological systems, theory and evidence, J. Physics: Conference Series, 26 (2008), 012205.doi: 10.1088/1742-6596/96/1/012205.
[2]	H. W. Hethcote, W. Wang, L. Han and Z. Ma, A predator-prey model with infected prey, Theor. Pop. Biology, 66 (2004), 258-268.doi: 10.1016/j.tpb.2004.06.010.
[3]	Y-H. Hsieh and C. K. Hsiao, Predator-prey model with disease infection in both populations, Math. Med. Biology, 25 (2008), 247-266.doi: 10.1093/imammb/dqn017.
[4]	D. G. Kendall, On the generalized "birth-and-death" process, Ann. Math. Statist, 19 (1948), 1-15.doi: 10.1214/aoms/1177730285.
[5]	X. Zhou, X. Shi and X. Song, Analysis of a delay prey-predator model with disease in the prey species only, J. Korean Math. Soc, 46 (2009), 713-791.doi: 10.4134/JKMS.2009.46.4.713.