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Volume 11, Issue 4
Analysis of a delayed predator-prey system with Holling type-IV functional response and impulsive diffusion between two patches

Xingping Zhu and Xuerong Shi

J. Info. Comput. Sci. , 11 (2016), pp. 312-320.

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  • 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.
  • Keywords

predator-prey time-delay impulsive dispersal global attractivity permanence.

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COPYRIGHT: © Global Science Press

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@Article{JICS-11-312, author = {Xingping Zhu and Xuerong Shi}, title = {Analysis of a delayed predator-prey system with Holling type-IV functional response and impulsive diffusion between two patches}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {11}, number = {4}, pages = {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. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22508.html} }
TY - JOUR T1 - Analysis of a delayed predator-prey system with Holling type-IV functional response and impulsive diffusion between two patches AU - Xingping Zhu and Xuerong Shi JO - Journal of Information and Computing Science VL - 4 SP - 312 EP - 320 PY - 2024 DA - 2024/01 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22508.html KW - predator-prey KW - time-delay KW - impulsive dispersal KW - global attractivity KW - permanence. AB - 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.
Xingping Zhu and Xuerong Shi. (2024). Analysis of a delayed predator-prey system with Holling type-IV functional response and impulsive diffusion between two patches. Journal of Information and Computing Science. 11 (4). 312-320. doi:
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