Discrete-time, discrete stage-structured predator–prey models

2005 ◽  
Vol 11 (4-5) ◽  
pp. 399-413 ◽  
Author(s):  
Sophia R.-J. Jang ◽  
Azmy S. Ackleh
Keyword(s):  
Discrete Time ◽  
Predator Prey ◽  
Predator Prey Models

Hydra effect and paradox of enrichment in discrete-time predator-prey models

2019 ◽  
Vol 310 ◽  
pp. 120-127 ◽  
Author(s):  
Vinicius Weide ◽  
Maria C. Varriale ◽  
Frank M. Hilker
Keyword(s):  
Discrete Time ◽  
Predator Prey ◽  
Paradox Of Enrichment ◽  
Hydra Effect ◽  
Predator Prey Models

scholarly journals Deterministic and Stochastic Analysis of a Ratio-Dependent Predator-Prey System with Delay

2007 ◽  
Vol 12 (3) ◽  
pp. 383-398 ◽  
Author(s):  
A. Maiti ◽  
M. M. Jana ◽  
G. P. Samanta
Keyword(s):  
Time Delay ◽  
Computer Simulations ◽  
Discrete Time ◽  
Stochastic Analysis ◽  
Predator Prey ◽  
Theoretical Ecology ◽  
Prey System ◽  
Discrete Time Delay ◽  
Ratio Dependent ◽  
Predator Prey Models

Recently ratio-dependent predator-prey models have become the focus of considerable attention in theoretical ecology in their own right. In this paper, we have studied the deterministic and stochastic dynamical aspects of stability of a MichaelisMenten type ratio-dependent predator-prey system that includes discrete time-delay. Computer simulations are carried out to explain the analytical findings in deterministic environment. The biological implications of our analytical and numerical findings are discussed critically.

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