Analysis of a delayed predator-prey system with Holling type-IV functional response and impulsive diffusion between two patches
Year: 2016
Journal of Information and Computing Science, Vol. 11 (2016), Iss. 4 : pp. 312–320
Abstract
Due to the extensive existence of time delay for natural population, it is necessary to take the effect of time delay into account in forming a biologically meaningful mathematical model. In view of this, a delayed predator-prey system with Holling type-IV functional response and impulsive dispersal between two patches is formulated. By using comparison theorem of impulsive differential equation and some analysis techniques, we obtain a predator-extinction periodic solution, which is globally attractive. Furthermore, it is proved that the investigated system is permanent. Numerical simulations are carried out to illustrate the theoretical results.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2024-JICS-22508
Journal of Information and Computing Science, Vol. 11 (2016), Iss. 4 : pp. 312–320
Published online: 2016-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 9