Eco-epidemiological model with fatal disease in the prey

David Greenhalgh, Qamar J.A. Khan, Fatma Ahmed Al-Kharousi

Research output: Contribution to journalArticle

Abstract

We investigate a model consisting of a predator population and both susceptible and infected prey populations. The predator can feed on either prey species but instead of choosing individuals at random the predator feeds preferentially on the most abundant prey species. More specifically we assume that the likelihood of a predator catching a susceptible prey or an infected prey is proportional to the numbers of these two different types of prey species. This phenomenon, involving changing preference from susceptible to infected prey, is called switching. Mukhopadhyay studied a switching model and proposed that the interaction of predators with infected prey is beneficial for the growth of the predator. In this model, we assume that the predator will eventually die as a result of eating infected prey. We find a threshold parameter R0 and showed that the disease will be eradicated from the system if R0 < 1.
Original languageEnglish
Article number103072
Number of pages19
JournalNonlinear Analysis: Real World Applications
Volume53
Early online date27 Nov 2019
DOIs
Publication statusE-pub ahead of print - 27 Nov 2019

Fingerprint

Epidemiological Model
Prey
Predator
Threshold Parameter
Likelihood
Die
Directly proportional
Model

Keywords

  • prey
  • predator
  • fatal disease
  • epidemiology
  • switching
  • epidemiological model

Cite this

@article{060ebc28399f4a23812a81e8a22e94a7,
title = "Eco-epidemiological model with fatal disease in the prey",
abstract = "We investigate a model consisting of a predator population and both susceptible and infected prey populations. The predator can feed on either prey species but instead of choosing individuals at random the predator feeds preferentially on the most abundant prey species. More specifically we assume that the likelihood of a predator catching a susceptible prey or an infected prey is proportional to the numbers of these two different types of prey species. This phenomenon, involving changing preference from susceptible to infected prey, is called switching. Mukhopadhyay studied a switching model and proposed that the interaction of predators with infected prey is beneficial for the growth of the predator. In this model, we assume that the predator will eventually die as a result of eating infected prey. We find a threshold parameter R0 and showed that the disease will be eradicated from the system if R0 < 1.",
keywords = "prey, predator, fatal disease, epidemiology, switching, epidemiological model",
author = "David Greenhalgh and Khan, {Qamar J.A.} and Al-Kharousi, {Fatma Ahmed}",
year = "2019",
month = "11",
day = "27",
doi = "10.1016/j.nonrwa.2019.103072",
language = "English",
volume = "53",
journal = "Nonlinear Analysis: Real World Applications",
issn = "1468-1218",

}

Eco-epidemiological model with fatal disease in the prey. / Greenhalgh, David; Khan, Qamar J.A.; Al-Kharousi, Fatma Ahmed.

In: Nonlinear Analysis: Real World Applications, Vol. 53, 103072, 01.06.2020.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Eco-epidemiological model with fatal disease in the prey

AU - Greenhalgh, David

AU - Khan, Qamar J.A.

AU - Al-Kharousi, Fatma Ahmed

PY - 2019/11/27

Y1 - 2019/11/27

N2 - We investigate a model consisting of a predator population and both susceptible and infected prey populations. The predator can feed on either prey species but instead of choosing individuals at random the predator feeds preferentially on the most abundant prey species. More specifically we assume that the likelihood of a predator catching a susceptible prey or an infected prey is proportional to the numbers of these two different types of prey species. This phenomenon, involving changing preference from susceptible to infected prey, is called switching. Mukhopadhyay studied a switching model and proposed that the interaction of predators with infected prey is beneficial for the growth of the predator. In this model, we assume that the predator will eventually die as a result of eating infected prey. We find a threshold parameter R0 and showed that the disease will be eradicated from the system if R0 < 1.

AB - We investigate a model consisting of a predator population and both susceptible and infected prey populations. The predator can feed on either prey species but instead of choosing individuals at random the predator feeds preferentially on the most abundant prey species. More specifically we assume that the likelihood of a predator catching a susceptible prey or an infected prey is proportional to the numbers of these two different types of prey species. This phenomenon, involving changing preference from susceptible to infected prey, is called switching. Mukhopadhyay studied a switching model and proposed that the interaction of predators with infected prey is beneficial for the growth of the predator. In this model, we assume that the predator will eventually die as a result of eating infected prey. We find a threshold parameter R0 and showed that the disease will be eradicated from the system if R0 < 1.

KW - prey

KW - predator

KW - fatal disease

KW - epidemiology

KW - switching

KW - epidemiological model

UR - https://www.sciencedirect.com/journal/nonlinear-analysis-real-world-applications

U2 - 10.1016/j.nonrwa.2019.103072

DO - 10.1016/j.nonrwa.2019.103072

M3 - Article

VL - 53

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

SN - 1468-1218

M1 - 103072

ER -