A delay differential equation model of a predator prey system with a transmissible disease in the prey population
type: Item
instance of: scholarly article
zbMATH Open document ID: 1002.34071
publication date: 2002-04-17T00:00:00Z
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34D23
zbMATH DE Number: 1730609
zbMATH Keywords: persistence
zbMATH Keywords: Lyapunov functional
zbMATH Keywords: predator
zbMATH Keywords: prey
zbMATH Keywords: delay differential equation
zbMATH Keywords: integro-differential equations
MaRDI profile type: Publication
author: Joydev Chattopadhyay
author: A. Mukhopadhyay
author: S. Chatterjee
title: A delay differential equation model of a predator prey system with a transmissible disease in the prey population
published in: Nonlinear Studies
review text: The authors study the problem of a predator-prey system with a disease in the prey population (interpreted to be phytoplankton) out of which the infected cells neither reproduce nor recover. By using Lyapunov functional approach, the authors establish a persistence criterion for the three populations, namely, sound and infected prey, and predator. In the three-dimensional system of the integro-differential equations model, integral terms represent that the process of infection is not instantaneous but takes some time to form a new group of infected phytoplankton cells from susceptible phytoplankton cells.
reviewed by: Wan-Tong Li
description: scientific article; zbMATH DE number 1730609