Farming awareness based optimum interventions for crop pest control

Abraha, Teklebirhan; Basir, Fahad Al; Obsu, Legesse Lemecha; Torres, Delfim F. M.

doi:10.3934/mbe.2021272

Cited by 14 publications

(4 citation statements)

References 23 publications

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“…Problems such as pest renaissance and secondary pest outbursts have to be carefully considered. The equilibria and stability of the adopted dynamical models help one to understand the disease spread considering the incubation period [8,9]. In particular, to provide suitable interventions for crop pests (that is, to decrease the number of pests in the crop field), optimal control theory is a valuable mathematical tool [8].…”

Section: Mathematical Modelsmentioning

confidence: 99%

A Mini-Review on Recent Fractional Models for Agri-Food Problems

Tomasiello

Macías‐Díaz

2023

Mathematics

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This work aims at providing a concise review of various agri-food models that employ fractional differential operators. In this context, various mathematical models based on fractional differential equations have been used to describe a wide range of problems in agri-food. As a result of this review, we found out that this new area of research is finding increased acceptance in recent years and that some reports have employed fractional operators successfully in order to model real-world data. Our results also show that the most commonly used differential operators in these problems are the Caputo, the Caputo–Fabrizio, the Atangana–Baleanu, and the Riemann–Liouville derivatives. Most of the authors in this field are predominantly from China and India.

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Section: Mathematical Modelsmentioning

confidence: 99%

A Mini-Review on Recent Fractional Models for Agri-Food Problems

Tomasiello

Macías‐Díaz

2023

Mathematics

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“…A mathematical model based on a system of ordinary differential equations was developed to provide farming alertness for pest administration in crops production, considering plant biomass, type of pest, and control level. Using the local pest-free and coexistence equilibria and applying the control theory, the criteria to decrease pest contamination in crop fields were achieved [58].…”

Section: Modeling and Simulationmentioning

confidence: 99%

Water Pollution and Agriculture Pesticide

Rad

Ray²,

Barghi³

2022

Clean Technol.

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The agricultural industry uses substantial amounts of water (the highest in the world) mostly for irrigation purposes. Rapid population growth and, consequently, growing demand for food have increased the use of pesticide to have higher yield for crops and other agricultural products. Wastewater generated as a result of excessive use of pesticides/herbicides in agricultural industry is becoming a global issue specifically in developing countries. Over 4,000,000 tons of pesticides are currently used in the world annually and high concentrations above their threshold limits have been detected in water bodies worldwide. The generated wastewater (contaminated with pesticides) has negative impacts on human health, the ecosystem, and the aquatic environment. Recently, biodegradable and biocompatible (including plant-based) pesticides have been introduced as green and safe products to reduce/eliminate the negative impacts of synthetic pesticides. Despite positive advantages of biopesticides, their use is limited due to cost and slow interaction with pests compared to chemical pesticides. Pesticides may also react with water and constituents of soil resulting in formation of intermediates having different physical and chemical properties. Diffusion, dispersion, and permeation are main mechanisms for transfer of pesticides in soil and water. Pesticides may degrade naturally in nature; however, the time requirement can be very long. Many mathematical models have been developed to simulate and estimate the final fate of pesticides in water resources. Development of new technologies and environmentally friendly pesticides to reduce water contamination is becoming increasingly important.

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“…Based on the outcome of this model, some recommendations for preventing and controlling pine wilt disease were proposed. In [27], a mathematical representation of farming awareness of the best crop pest control interventions was introduced. The results suggest that the best options are advertisements and pesticides.…”

Section: Introductionmentioning

confidence: 99%

Investigating the Dynamics of Bayoud Disease in Date Palm Trees and Optimal Control Analysis

Alsaqer,

Butt,

Al Nuwairan

2024

Mathematics

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The fungus Fusarium oxysporum (f.sp. albedinis) causes Bayoud disease. It is one of the epiphytotic diseases that affects a wide range of palm species and has no known cure at present. However, preventive measures can be taken to reduce the effects of the disease. Bayoud disease has caused enormous economic losses due to decreased crop yield and quality. Therefore, it is essential to develop a mathematical model for the dynamics of the disease to propose some affordable methods for disease management. In this study, we propose a novel mathematical model that describes the transmission dynamics of the disease in date palm trees. The model incorporates various factors such as the contact rate of the fungi with date palm trees, the utilization of fungicides, and the introduction of a quarantine compartment to prevent disease dissemination. We first prove a few key properties of the proposed model to ensure that the model is well-posed and suitable for numerical investigations. We establish that the model has a unique positive solution that is bounded and stable over time. We use sensitivity analysis to identify the parameters that have the greatest effect on the reproduction number R0 and illustrate this effect graphically. We then formulate an optimal control problem to identify the most suitable and cost-effective disease control approaches. As a first approach, we solely focus on the application of fungicide to susceptible trees and determine the best spray rates for a greater decrease in exposed and infected trees. Secondly, we emphasize quarantining exposed and infected trees at optimal quarantine rates. Finally, we explore the combined effect of fungicide spraying and isolating infected trees on disease control. The findings of the last approach turn out to be the most rewarding and cost-effective for minimizing infections in date palm trees.

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Farming awareness based optimum interventions for crop pest control

Cited by 14 publications

References 23 publications

A Mini-Review on Recent Fractional Models for Agri-Food Problems

A Mini-Review on Recent Fractional Models for Agri-Food Problems

Water Pollution and Agriculture Pesticide

Investigating the Dynamics of Bayoud Disease in Date Palm Trees and Optimal Control Analysis

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