Optimal strategy in controlling non-vector pest insect using green insecticide and mating disruption with cost-effectiveness analysis

Fitri, Ihza Rizkia; Bakhtiar, Toni; Hanum, Farida; Kusnanto, Ali

doi:10.1088/1742-6596/1796/1/012037

Cited by 4 publications

(2 citation statements)

References 26 publications

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“…As credited to Lenhart and Workman [ 73 ], the method of forward-backward sweep has been explored extensively by many researchers as in [ 74 – 76 ] to solve the optimality system of optimal control models numerically. Hence, we consider the method to solve the COVID-19 ( 1 ) and the control system ( 38 ).…”

Section: Model Application With Numerical Examplesmentioning

confidence: 99%

Global Analysis and Optimal Control Model of COVID-19

Nana-Kyere

Boateng

Jonathan

et al. 2022

Computational and Mathematical Methods in Medicine

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COVID-19 remains the concern of the globe as governments struggle to defeat the pandemic. Understanding the dynamics of the epidemic is as important as detecting and treatment of infected individuals. Mathematical models play a crucial role in exploring the dynamics of the outbreak by deducing strategies paramount for curtailing the disease. The research extensively studies the SEQIAHR compartmental model of COVID-19 to provide insight into the dynamics of the disease by underlying tailored strategies designed to minimize the pandemic. We first studied the noncontrol model’s dynamic behaviour by calculating the reproduction number and examining the two nonnegative equilibria’ existence. The model utilizes the Castillo-Chavez method and Lyapunov function to investigate the global stability of the disease at the disease-free and endemic equilibrium. Sensitivity analysis was carried on to determine the impact of some parameters on R 0 . We further examined the COVID model to determine the type of bifurcation that it exhibits. To help contain the spread of the disease, we formulated a new SEQIAHR compartmental optimal control model with time-dependent controls: personal protection and vaccination of the susceptible individuals. We solved it by utilizing Pontryagin’s maximum principle after studying the dynamical behaviour of the noncontrol model. We solved the model numerically by considering different simulation controls’ pairing and examined their effectiveness.

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Section: Model Application With Numerical Examplesmentioning

confidence: 99%

Global Analysis and Optimal Control Model of COVID-19

Nana-Kyere

Boateng

Jonathan

et al. 2022

Computational and Mathematical Methods in Medicine

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“…The most recognized aphid species are Metopolophium dirhodum, Rhopalosiphum padi, Sitobion avenae, and Schizaphis graminum [5,6]. The virus restricts photosynthate transport and causes phloem degeneration within the plant, resulting in a reduced number of tillers, grains per ear, and grain weight, in addition to yellowing of leaves and dwarfing [5,7].…”

Section: Introductionmentioning

confidence: 99%

Study of barley yellow dwarf virus: dynamics of aphid-plant interaction

Gómez-Hernández

Cuesta-Herrera

Altamirano-Fernández

et al. 2023

J. Phys.: Conf. Ser.

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Physics continues to be an inexhaustible source of problems that have inspired the theoretical development of mathematics, particularly in the development of the theory of dynamical systems that have their origin in the physics of the 15th century, with the beginning of differential calculus by Newton and Leibniz; differential equations are an appropriate tool for research in different areas of knowledge. Our objective is to show an example of how we can use dynamical systems in a problem framed in forestry and agricultural systems, ecology, and epidemiology. This work is inspired by one of the essential primary crops in the energy intake of the human diet, wheat; as it turns out, the productivity of this food can be affected by several biotic stresses, including viral diseases and their associated vectors. Among the viral infections is the barley yellow dwarf virus, which causes 11% to 33% yield losses in wheat fields; the virus moves through the agricultural landscape via different aphid species (vectors). The main problem is that aphids prefer colonizing plants with the virus, causing rapid growth of infected plants and substantially decreasing crop productivity; therefore, we propose to study the dynamics of aphid-plant interaction, in which the impact of aphid preference for infected plants is determined, and we obtained as a result that a key parameter is the quantity and quality of food consumed by aphids.

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