Harvesting in discrete-time predator-prey systems

M Basson, MJ Fogarty - Mathematical biosciences, 1997 - Elsevier
… of discrete-time models for an exploited predator-prey system. … The joint effects of harvesting
and interspecific interactions on … We demonstrate that harvesting is a potentially stabilizing …

Stability and bifurcation analysis of a discrete prey–predator model with square-root functional response and optimal harvesting

P Chakraborty, U Ghosh, S Sarkar - Journal of Biological Systems, 2020 - World Scientific
… a discrete prey–predator model with square-root functional response and optimal harvesting
… the dynamics of the prey–predator model where the prey population exhibits herd behavior, …

Global dynamics of a Holling Type-III two prey–one predator discrete model with optimal harvest strategy

R Banerjee, P Das, D Mukherjee - Nonlinear Dynamics, 2020 - Springer
… In [23], we concluded that proper harvesting of the bison population might induce … of optimal
harvesting strategies on the system dynamics, we introduce a suitable nonlinear harvesting \(…

Optimal harvesting of a prey–predator model with variable carrying capacity

C Ganguli, TK Kar, PK Mondal - International Journal of …, 2017 - World Scientific
… s and prey’s intrinsic growth rate. The possibility of bionomic equilibrium has been considered.
The optimal harvest … –prey model with constant-yield predator harvesting, Discrete Contin. …

Sustainable strategies for harvesting predators and prey in a fluctuating environment

E Bellier, BE Sæther, S Engen - Ecological Modelling, 2021 - Elsevier
… Our discrete predator-prey model includes a functional … , as in our discrete-time predator-prey
model. Some ecological … Our study finds optimal harvesting strategies for interacting …

Numerical optimal harvesting for an age-dependent prey-predator system

R Ştefănescu, G Dimitriu - Numerical functional analysis and …, 2012 - Taylor & Francis
… In the second part of this section, we focus on the discrete adjoint system. As we did previously,
… The Taylor expansion is used to derive the discrete problem corresponding to the adjoint …

Coexistence, extinction, and optimal harvesting in discrete-time stochastic population models

A Hening - Journal of Nonlinear Science, 2021 - Springer
… We also find the optimal harvesting strategy if we restrict ourselves to proportional harvest
Either we drive the predator extinct and we harvest the prey or we do not harvest the prey at all …

Optimal control of harvest and bifurcation of a prey–predator model with stage structure

K Chakraborty, M Chakraborty, TK Kar - Applied Mathematics and …, 2011 - Elsevier
preydiscrete models than to consider continuous models. If the population numbers are
small or if births and deaths all occur at discrete times, or within certain intervals of time, discrete

A Spatiotemporal Prey‐Predator Discrete Model and Optimal Controls for Environmental Sustainability in the Multifishing Areas of Morocco

A El Bhih, Y Benfatah, S Ben Rhila… - Discrete dynamics in …, 2020 - Wiley Online Library
… Next, we propose two harvesting control strategies that focus on … area discrete-time
prey-predator model for three species (prey, middle predator, and top predator) using an optimal

Dynamical behavior of a harvested prey-predator model with stage structure and discrete time delay

C Liu, Q Zhang, J Huang, W Tang - Journal of Biological Systems, 2009 - World Scientific
… We aim to find an optimal harvesting policy which guarantees a lasting exploitation of the …
of the harvested prey-predator ecosystem, we discuss an optimal harvesting policy to maximize …