Global exponential stability of periodic solutions to a delay Lasota-Wazewska model with discontinuous harvesting

L Duan, L Huang, Y Chen - Proceedings of the American Mathematical …, 2016 - ams.org
In this paper, we study a delay Lasota-Wazewska model with discontinuous harvesting,
which is described by a periodic nonsmooth dynamical system. Based on a newly …

Globally exponentially stable periodic solution in a general delayed predator-prey model under discontinuous prey control strategy

W Li, L Huang, J Ji, SI Ei - Discrete and Continuous Dynamical …, 2020 - opus.lib.uts.edu.au
This paper studies the solution behaviour of a general delayed predator-prey model with
discontinuous prey control strategy. The positiveness and boundeness of the solution of the …

Periodic dynamics of delayed Lotka–Volterra competition systems with discontinuous harvesting policies via differential inclusions

Z Cai, L Huang - Chaos, Solitons & Fractals, 2013 - Elsevier
This paper considers a general class of delayed Lotka–Volterra competition systems where
the harvesting policies are modeled by discontinuous functions or by non-Lipschitz …

Dynamical behavior for a class of predator–prey system with general functional response and discontinuous harvesting policy

Z Cai, L Huang, L Zhang, X Hu - Mathematical Methods in the …, 2015 - Wiley Online Library
In this paper, we introduce a class of predator–prey system with general functional
response, whose harvesting policy is modeled by a discontinuous function. Based on the …

Predator harvesting in stage dependent predation models: Insights from a threshold management policy

MI da Silveira Costa - Mathematical biosciences, 2008 - Elsevier
Stage dependent predation may give rise to the hydra effect–the increase of predator
density at equilibrium as its mortality rate is raised. Management strategies that adjust …

[PDF][PDF] Control of nonlinear dynamic models of Predator-Prey type

A Bhaya, MEM Meza - Oecologia Australis, 2012 - pdfs.semanticscholar.org
In the ecological context, a large class of population dynamics models can be written as
dynamical systems of one or two variables, ie, each variable represents a population density …