Stationary patterns for a prey–predator model with prey-dependent and ratio-dependent functional responses and diffusion

2004 ◽  
Vol 196 (1-2) ◽  
pp. 172-192 ◽  
Author(s):  
Mingxin Wang
Keyword(s):  
Functional Responses ◽  
Ratio Dependent ◽  
Predator Model ◽  
And Diffusion

Prey–predator model for optimal harvesting with functional response incorporating prey refuge

2015 ◽  
Vol 09 (01) ◽  
pp. 1650014 ◽  
Author(s):  
G. S. Mahapatra ◽  
P. Santra
Keyword(s):  
Functional Response ◽  
System Parameter ◽  
Optimal Harvesting ◽  
Functional Responses ◽  
Prey Refuge ◽  
Numerical Examples ◽  
Pictorial Presentation ◽  
Constant Form ◽  
Predator Model ◽  
Predator System

This paper presents a prey–predator model considering the predator interacting with non-refuges prey by class of functional responses. Here we also consider harvesting for only non-refuges prey. We discuss the equilibria of the model, and their stability for hiding prey either in constant form or proportional to the densities of prey population. We also investigate various possibilities of bionomic equilibrium and optimal harvesting policy. Finally we present numerical examples with pictorial presentation of the various effects of the prey–predator system parameter.

Complexity in a prey-predator model with prey refuge and diffusion

2019 ◽  
Vol 37 ◽  
pp. 11-23 ◽  
Author(s):  
Bhaskar Chakraborty ◽  
Nandadulal Bairagi
Keyword(s):  
Prey Refuge ◽  
Predator Model ◽  
And Diffusion

scholarly journals Ratio-dependent functional responses - tests with the zooplanktivore Mysis mixta

2001 ◽  
Vol 216 ◽  
pp. 181-189 ◽  
Author(s):  
S Hansson ◽  
BT De Stasio ◽  
E Gorokhova ◽  
MA Mohammadian
Keyword(s):  
Functional Responses ◽  
Mysis Mixta ◽  
Ratio Dependent
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