[PDF][PDF] Nonconstant predator harvesting on ratio-dependent predator-prey models

P Lenzini, J Rebaza - Appl. Math. Sci, 2010 - m-hikari.com
The dynamics of a ratio-dependent predator-prey model with two different non-constant
harvesting functions depending on the predator population is studied. Equilibria and …

Dynamics of ratio-dependent predator-prey models with nonconstant harvesting

B Leard, C Lewis, J Rebaza - Discrete and Continuous Dynamical …, 2008 - aimsciences.org
The dynamics of constant harvesting of a single species has been studied extensively within
the framework of ratio-dependent predator-prey models. In this work, we investigate the …

[HTML][HTML] Dynamics of prey threshold harvesting and refuge

J Rebaza - Journal of Computational and Applied Mathematics, 2012 - Elsevier
The dynamics of a predator–prey model with continuous threshold prey harvesting and prey
refuge is studied. One central question is how harvesting and refuge could directly affect the …

Coexistence properties of some predator-prey systems under constant rate harvesting and stocking

F Brauer, AC Soudack - Journal of Mathematical Biology, 1982 - Springer
The global behaviour of a class of predator-prey systems, modelled by a pair of non-linear
ordinary differential equations, under constant rate harvesting and/or stocking of both …

Stability regions in predator-prey systems with constant-rate prey harvesting

F Brauer, AC Soudack - Journal of Mathematical Biology, 1979 - Springer
We analyze the global behavior of a predator-prey system, modelled by a pair of non-linear
ordinary differential equations, under constant-rate prey harvesting. By methods analogous …

A bioeconomic model of a ratio-dependent predator-prey system and optimal harvesting

TK Kar, S Misra, B Mukhopadhyay - Journal of Applied Mathematics and …, 2006 - Springer
This paper deals with the problem of a ratio-dependent prey-predator model with combined
harvesting. The existence of steady states and their stability are studied using eigenvalue …

Dynamics in a ratio-dependent predator–prey model with predator harvesting

D Xiao, W Li, M Han - Journal of mathematical analysis and applications, 2006 - Elsevier
The objective of this paper is to study systematically the dynamical properties of a ratio-
dependent predator–prey model with nonzero constant rate predator harvesting. It is shown …

Local stability analysis of ratio-dependent predator–prey models with predator harvesting rates

CM Heggerud, K Lan - Applied Mathematics and Computation, 2015 - Elsevier
We study the local stability of ratio-dependent predator–prey models with nonconstant
predator harvesting rates. We provide more general conditions on the parameters involved …

Global qualitative analysis for a ratio-dependent predator–prey model with delay

S Tang, L Chen - Journal of mathematical analysis and applications, 2002 - Elsevier
A ratio-dependent predator–prey model with time lag for predator is proposed and analyzed.
Mathematical analyses of the model equations with regard to boundedness of solutions …

Ratio-dependent predator-prey system with stage structure for prey

X Song, L Cai, U Neumann - Discrete and Continuous Dynamical …, 2004 - aimsciences.org
A ratio-dependent predator-prey model with stage structure for the prey is proposed and
analyzed, which improves the assumption that each individual prey has the same ability to …