A Density Dependent Demographic Prey-Predator Model with Harvesting and Disease Related Deaths

AUTHOR AND
AFFILIATION

Bijendra Singh
School of studies in Mathematics, Vikram University, Ujjain M.P. (INDIA)
Rachana Khandelwal
School of studies in Mathematics, Vikram University, Ujjain M.P. (INDIA)
Nitu Trivedi
School of studies in Mathematics, Vikram University, Ujjain M.P. (INDIA)

KEYWORDS:

Prey-Predator model, Epidemiological model, Stability

Issue Date:

December 2009

Pages:

641-646

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.21 – No.3

PDF

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DOI:

jusps-A

ABSTRACT:

A prey-predator SIS model with logistic growth has been considered with parasitic infection in prey and more vulnerability of infected prey to predation. The combined harvesting of both species along with disease related death of prey has also been taken into account. It has been observed that the parameter concerned with disease related death affects the endemic state. Threshold numbers along with stability are also discussed. The contributions of Hethcote et. al.7 and Trivedi et. al.12 follows as corollary.

Copy the following to cite this Article:

B. Singh; R. Khandelwal; N. Trivedi, “A Density Dependent Demographic Prey-Predator Model with Harvesting and Disease Related Deaths”, Journal of Ultra Scientist of Physical Sciences, Volume 21, Issue 3, Page Number 641-646, 2018


Copy the following to cite this URL:

B. Singh; R. Khandelwal; N. Trivedi, “A Density Dependent Demographic Prey-Predator Model with Harvesting and Disease-Related Deaths”, Journal of Ultra Scientist of Physical Sciences, Volume 21, Issue 3, Page Number 641-646, 2018

Available from: http://www.ultrascientist.org/paper/1235/