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We investigate a mathematical model in crop pest controlling, considering plant biomass, pest, and the effect of farming awareness. The pest population is divided into two compartments: susceptible pests and infected pests. We assume that…

Optimization and Control · Mathematics 2022-01-28 Teklebirhan Abraha , Fahad Al Basir , Legesse Lemecha Obsu , Delfim F. M. Torres

We investigate a mathematical model in crop pest management, considering plant biomass, pest, and the effect of farming awareness. The pest population is divided into two compartments: susceptible pest and infected pest. We assume that the…

Optimization and Control · Mathematics 2021-03-30 Teklebirhan Abraha , Fahad Al Basir , Legesse Lemecha Obsu , Delfim F. M. Torres

We formulate an integrated pest management model to control natural pests of the crop through the periodic application of biopesticide and chemical pesticides. In a theoretical analysis of the system pest eradication, a periodic solution is…

Optimization and Control · Mathematics 2023-04-27 Fahad Al Basir , Jahangir Chowdhury , Delfim F. M. Torres

Agricultural losses to pest represent an important challenge in a global warming scenario. Intercropping is an alternative farming practice that promotes pest control without the use of chemical pesticides. Here we develop a mathematical…

Populations and Evolution · Quantitative Biology 2019-09-11 Alfonso Allen-Perkins , Ernesto Estrada

This paper aims to introduce a concept of an equilibrium point of a dynamical system which will call it almost global asymptotically stable. A biological prey-predator model is also analyzed with a modification function growth in prey…

Optimization and Control · Mathematics 2020-05-27 Sadiq Al-Nassir

In this paper we investigate an optimal control problem involving a toy model for the protection on a crop field. Precisely, we consider a protection on a crop field and we want to place intervention zones represented by a control, in order…

Optimization and Control · Mathematics 2025-05-12 Luis Almeida , Aymeric Jacob de Cordemoy , Ayman Moussa , Nicolas Vauchelet

Controlling pest insects is a challenge of main importance to preserve crop production. In the context of Integrated Pest Management (IPM) programs, we develop a generic model to study the impact of mating disruption control using an…

Dynamical Systems · Mathematics 2018-02-20 Roumen Anguelov , Claire Dufourd , Yves Dumont

Main goal: The aim of this note is to propose a modeling approach for assessing the effectiveness of pest biocontrol by natural enemies in diversified agricultural landscapes including several pesticide-based management strategies. Our…

Populations and Evolution · Quantitative Biology 2016-02-23 Mamadou Ciss , Sylvain Poggi , Mohamed-Mahmoud Memmah , Pierre Franck , Marie Gosme , Nicolas Parisey , Lionel Roques

This paper presents a UAV-based optimal crop-dusting method to control anomalously diffusing infestation of crops. Two anomalous diffusion models are considered, which are, respectively, time-fractional order diffusion equation and…

Systems and Control · Computer Science 2014-12-09 Jianxiong Cao , YangQuan Chen , Changpin Li

A heroin epidemic mathematical model with prevention information and treatment, as control interventions, is analyzed, assuming that an individual's behavioral response depends on the spreading of information about the effects of heroin.…

Optimization and Control · Mathematics 2022-10-24 Puthur Thangaraj Sowndarrajan , Lingeshwaran Shangerganesh , Amar Debbouche , Delfim F. M. Torres

Optimizing management practices and selecting the best cultivar for planting play a significant role in increasing agricultural food production and decreasing environmental footprint. In this study, we develop optimization frameworks under…

Optimization and Control · Mathematics 2022-08-10 Faezeh Akhavizadegan , Javad Ansarifar , Lizhi Wang , Sotirios V. Archontoulis

We develop an optimal control model for allocating agricultural crop residues between bioenergy production and soil fertility restoration. The system captures a novel circular feedback: a fraction of cumulative energy output is reinvested…

Optimization and Control · Mathematics 2025-11-14 Othman Cherkaoui Dekkaki

We consider an agro-ecologically motivated coupling between a prey-predator system and a vector-borne epidemic system. The coupled system contains one ODE, two reaction-diffusion PDEs and one reaction-diffusionadvection PDE; it has no…

Analysis of PDEs · Mathematics 2022-12-23 Léo Girardin , Baptiste Maucourt

Disease and pest control largely rely on pesticides use and progress still remains to be made towards more sustainable practices. Pest Monitoring Networks (PMNs) can provide useful information for improving crop protection by restricting…

Populations and Evolution · Quantitative Biology 2020-02-05 Marie-Josée Cros , Jean-Noël Aubertot , Sabrina Gaba , Xavier Reboud , Régis Sabbadin , Nathalie Peyrard

We delve into the interactions between a prey-predator and a vector-borne epidemic system, driven by agro-ecological motivations. This system involves an ODE, two reaction--diffusion PDEs and one reaction--diffusion--advection PDE. It has…

Analysis of PDEs · Mathematics 2024-02-13 Baptiste Maucourt

In this paper we introduce an optimal control approach to Richards' equation in an irrigation framework, aimed at minimizing water consumption while maximizing root water uptake. We first describe the physics of the nonlinear model under…

Optimization and Control · Mathematics 2023-07-13 Marco Berardi , Fabio V. Difonzo , Roberto Guglielmi

In this paper, we focus on a method based on optimal control to address the optimization problem. The objective is to find the optimal solution that minimizes the objective function. We transform the optimization problem into optimal…

Optimization and Control · Mathematics 2023-09-12 Yeming Xu , Ziyuan Guo , Hongxia Wang , Huanshui Zhang

Plant diseases are major causes of production losses and may have a significant impact on the agricultural sector. Detecting pests as early as possible can help increase crop yields and production efficiency. Several robotic monitoring…

Robotics · Computer Science 2023-08-29 Adi Yehoshua , Yael Edan

This paper deals with some control problems related to structured population dynamics with diffusion. Firstly, we investigate the regional control for an optimal harvesting problem (the control acts in a subregion $\omega$ of the whole…

Optimization and Control · Mathematics 2017-05-09 Laura-Iulia Aniţa , Sebastian Aniţa , Vincenzo Capasso , Ana-Maria Moşneagu

The stability analysis of model predictive control schemes without terminal constraints and/or costs has attracted considerable attention during the last years. We pursue a recently proposed approach which can be used to determine a…

Optimization and Control · Mathematics 2014-01-16 Philipp Braun , Jürgen Pannek , Karl Worthmann
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