EFFECT OF TIME-DELAY ON A PREY–PREDATOR MODEL WITH MICROPARASITE INFECTION IN THE PREDATOR

Autor:	Sweta Pathak, S. P. Bera, Alakes Maiti
Rok vydání:	2011
Předmět:	education.field_of_study Ecology Applied Mathematics Population General Medicine Biology Agricultural and Biological Sciences (miscellaneous) Predation Prey predator Infected population education Predator Microparasite
Zdroj:	Journal of Biological Systems. 19:365-387
ISSN:	1793-6470 0218-3390
DOI:	10.1142/s0218339011004032
Popis:	To increase a prey population that is attacked by a predator it is more convenient and economical to choose the living organisms to control the predator. In this paper, the dynamical behaviors of a prey–predator model with microparasitic infection in the predator have been discussed. In this epidemiological model the microparasite is horizontally transmitted and attacks the predator population only. The infected population does not recover or become immune. The dynamical characteristics of the system are studied through mathematical analyses. The role of discrete time-delay has been discussed to show that time-delay can induce instability and oscillation. Numerical simulations are carried out. Biological implications have been discussed.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::95c82537ef3886476d23bf475ca7e6b7 https://doi.org/10.1142/s0218339011004032 Zobrazit plný text záznamu