An eco-epidemiological predator-prey model where predators distinguish between susceptible and infected prey

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Greenhalgh, David and Khan, Qamar J. A. and Pettigrew, Joseph S. (2017) An eco-epidemiological predator-prey model where predators distinguish between susceptible and infected prey. Mathematical Methods in the Applied Sciences, 40 (1). pp. 146-166. ISSN 0170-4214

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Abstract

A predator-prey model with disease amongst the prey and ratio-dependent functional response for both infected and susceptible prey is proposed and its features analysed. This work is based on previous mathematical models to analyse the important ecosystem of the Salton Sea in Southern California and New Mexico where birds (particularly pelicans) prey on fish (particularly tilapia). The dynamics of the system around each of the ecologically meaningful equilibria are presented. Natural disease control is considered before studying the impact of the disease in the absence of predators, the interaction of predators and healthy prey and the disease effects on predators in the absence of healthy prey. Our theoretical results are confirmed by numerical simulation.

ORCID iDs

Greenhalgh, David ORCID logoORCID: https://orcid.org/0000-0001-5380-3307, Khan, Qamar J. A. and Pettigrew, Joseph S. ORCID logoORCID: https://orcid.org/0000-0002-1512-8555;
  • Item type:Article
    ID code:56336
    Dates:
    Date
    Event
    15 January 2017
    Published
    16 June 2016
    Published Online
    7 April 2016
    Accepted
    Notes:This is the peer reviewed version of the following article: Greenhalgh, D., Khan, Q. J. A., & Pettigrew, J. S. (2017). An eco-epidemiological predator-prey model where predators distinguish between susceptible and infected prey. Mathematical Methods in the Applied Sciences , 40(1), 146-166. , which has been published in final form at http://onlinelibrary.wiley.com/wol1/doi/10.1002/mma.3974/full. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:10 May 2016 10:48
    Last modified:21 Nov 2024 01:12
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/56336
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