Role of Age-selective Harvesting in a Delayed Predator- prey Model together with Fear and Additional Food

2021 ◽  
Vol 9 (4) ◽  
pp. 343-375
Author(s):  
Ashok Mondal ◽  
A. K. Pal ◽  
G. P. Samanta
Keyword(s):  
Additional Food ◽  
Predator Prey ◽  
Selective Harvesting ◽  
Predator Prey Model ◽  
Prey Model

Qualitative analysis of a diffusive Crowley–Martin predator–prey model: the role of nonlinear predator harvesting

2019 ◽  
Vol 98 (2) ◽  
pp. 1169-1189 ◽  
Author(s):  
Vandana Tiwari ◽  
Jai Prakash Tripathi ◽  
Syed Abbas ◽  
Jin-Shan Wang ◽  
Gui-Quan Sun ◽  
...  
Keyword(s):  
Qualitative Analysis ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

Fear Induced Multistability in a Predator-Prey Model

2021 ◽  
Vol 31 (10) ◽  
pp. 2150150
Author(s):  
N. C. Pati ◽  
Shilpa Garai ◽  
Mainul Hossain ◽  
G. C. Layek ◽  
Nikhil Pal
Keyword(s):  
Parameter Space ◽  
Periodic Structures ◽  
Chaotic Oscillations ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey System ◽  
Prey Model ◽  
Prey Interaction ◽  
Type Ii Functional Response

In ecology, the predator’s impact goes beyond just killing the prey. In the present work, we explore the role of fear in the dynamics of a discrete-time predator-prey model where the predator-prey interaction obeys Holling type-II functional response. Owing to the increasing strength of fear, the system becomes stable from chaotic oscillations via inverse Neimark–Sacker bifurcation. Extensive numerical simulations are carried out to investigate the intricate dynamics for the organization of periodic structures in the bi-parameter space of the system. We observe fear induced multistability between different pairs of coexisting heterogeneous attractors due to the overlapping of multiple periodic domains in the bi-parameter space. The basin sets of the coexisting attractors are obtained and discussed at length. Multistability in the predator-prey system is important because the dynamics of the predator and prey populations in the critical parameter zone becomes uncertain.

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