Analysis of predator–prey models with continuous threshold harvesting

B Leard, J Rebaza - Applied Mathematics and Computation, 2011 - Elsevier
We formulate an alternative form of threshold harvesting and investigate its properties within
the framework of a predator–prey model. Our formulation accounts for economic constraints …

Continuous threshold prey harvesting in predator-prey models

J Bohn, J Rebaza, K Speer - International Journal of …, 2011 - publications.waset.org
The dynamics of a predator-prey model with continuous threshold policy harvesting
functions on the prey is studied. Theoretical and numerical methods are used to investigate …

[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 …

[HTML][HTML] Two types of predator–prey models with harvesting: Non-smooth and non-continuous

Y Lv, R Yuan, Y Pei - Journal of computational and applied mathematics, 2013 - Elsevier
This article investigates continuous and impulsive threshold harvesting strategies on the
predator which needs to be applied only when the predator population is above or reaches …

Dynamics in two nonsmooth predator–prey models with threshold harvesting

Y Lv, R Yuan, Y Pei - Nonlinear Dynamics, 2013 - Springer
Considering a good pest control program should reduce the pest to levels acceptable to the
public, we investigate the threshold harvesting policy on pests in two predator–prey models …

[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 …

Effects of supplying alternative food in a predator–prey model with harvesting

B Sahoo, S Poria - Applied Mathematics and Computation, 2014 - Elsevier
In this paper, we propose a tritrophic predator–prey model with harvesting where the top-
predator population is partially supported with alternative food. We report the consequences …

[HTML][HTML] Novel dynamics of a predator–prey system with harvesting of the predator guided by its population

X Wang, Y Wang - Applied Mathematical Modelling, 2017 - Elsevier
A predator–prey model was extended to include nonlinear harvesting of the predator guided
by its population, such that harvesting is only implemented if the predator population …

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 …

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 …