Dynamics analysis and control optimization of a pest management predator–prey model with an integrated control strategy

K Sun, T Zhang, Y Tian - Applied Mathematics and Computation, 2017 - Elsevier
Pest management is a complex issue in real applications, and a practical program in pest
control in general involves two pest thresholds, where the biological control and chemical …

Theoretical study and control optimization of an integrated pest management predator–prey model with power growth rate

K Sun, T Zhang, Y Tian - Mathematical biosciences, 2016 - Elsevier
This work presents a pest control predator–prey model, where rate of change in prey density
follows a scaling law with exponent less than one and the control is by an integrated …

Dynamics of predator–prey models with a strong Allee effect on the prey and predator-dependent trophic functions

G Buffoni, M Groppi, C Soresina - Nonlinear Analysis: Real World …, 2016 - Elsevier
The complex dynamics of a two-trophic chain are investigated. The chain is described by a
general predator–prey system, in which the prey growth rate and the trophic interaction …

Natural enemies deployment in patchy environments for augmentative biological control

B Ghosh, F Grognard, L Mailleret - Applied Mathematics and Computation, 2015 - Elsevier
Biological control is an important tool for ecologically friendly crop protection against pests,
that consists in using a biological organism (predator, parasitoid, pathogen) to reduce the …

Augmentative biocontrol when natural enemies are subject to Allee effects

N Bajeux, F Grognard, L Mailleret - Journal of Mathematical Biology, 2017 - Springer
Intraspecific interactions such as Allee effects are key properties that can guide population
management. This contribution considers component Allee effects that are elementary …

Biocontrol in an impulsive predator–prey model

AJ Terry - Mathematical biosciences, 2014 - Elsevier
We study a model for biological pest control (or “biocontrol”) in which a pest population is
controlled by a program of periodic releases of a fixed yield of predators that prey on the …

Generalized Predator‐Prey Model with Nonlinear Impulsive Control Strategy

W Qin, G Tang, S Tang - Journal of Applied Mathematics, 2014 - Wiley Online Library
A generalized predator‐prey model concerning integrated pest management and nonlinear
impulsive control measures is proposed and analyzed. The main purpose is to understand …

Semidiscrete biomass dynamic modeling: an improved approach for assessing fish stock responses to pulsed harvest events

ME Colvin, CL Pierce… - Canadian Journal of …, 2012 - cdnsciencepub.com
Continuous harvest over an annual period is a common assumption of continuous biomass
dynamics models (CBDMs); however, fish are frequently harvested in a discrete manner. We …

Dynamic analysis and control of a rice-pest system under transcritical bifurcations

S Mandal, S Oberst, MHA Biswas, MS Islam - PeerJ, 2023 - peerj.com
A decision model is developed by adopting two control techniques, combining cultural
methods and pesticides in a hybrid approach. To control the adverse effects in the long term …

Complex Dynamics of Beddington–DeAngelis‐Type Predator‐Prey Model with Nonlinear Impulsive Control

C Li, X Feng, Y Wang, X Wang - Complexity, 2020 - Wiley Online Library
According to resource limitation, a more realistic pest management is that the impulsive
control actions should be adjusted according to the densities of both pest and natural enemy …