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.