Dynamical Strategy to Control the Accuracy of the Nonlinear Bio-Mathematical Model of Malaria Infection

Noeiaghdam, Samad; Micula, Sanda

doi:10.3390/math9091031

Cited by 17 publications

(5 citation statements)

References 33 publications

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“…In the past years, several numbers of mathematical models on the transmission dynamics of Malaria have been observed. Following the simple S − I − R malaria model, many researchers have elaborated these models by incorporating different features associated with malaria transmission dynamics and its control [9][10][11][12][13][14][15][16][17]. These articles did not reflect the bearing of awareness movements for malaria disease control.…”

Section: Of 21mentioning

confidence: 99%

Mathematical Modelling and Optimal Control of Malaria Using Awareness-Based Interventions

Basir¹,

Abraha²

2023

Preprint

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Malaria is a critical fevered illness caused by Plasmodium parasites transmitted among people through the bites of infected female Anopheles mosquitoes. Public awareness about the disease is important for the control of disease. This article proposes a mathematical model to study the dynamics of malaria disease transmission with the influence of awareness-based control interventions. We found two equilibria of the model, namely the disease-free and endemic equilibrium. Disease-free equilibrium is stable globally if basic reproduction number (R0) is less than unity (R0&lt;1). Some basic mathematical properties of the proposed model, such as nonnegativity and boundedness of solutions, the feasibility of the equilibrium points and their stability properties, have been studied. Finally, we adopted optimal control to minimize the cost of disease control and solve the problem by formulating Hamiltonian functional. The optimal use of insecticides for controlling the mosquito population is determined. Numerical simulations have been provided for the confirmation of the analytical results. We conclude that media awareness with optimal control approach is best for cost-effective malaria disease management.

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Section: Of 21mentioning

confidence: 99%

Mathematical Modelling and Optimal Control of Malaria Using Awareness-Based Interventions

Basir¹,

Abraha²

2023

Preprint

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“…In addition, Hermit transformation, modified Riemann-Liouville fractional derivative rule and fractional mapping method were combined to analyze stochastic fractional solutions of a wick-type SFNLSE [17]. More mathematical modelling in medical sciences can be found in [18][19][20].…”

Section: µ Pmentioning

confidence: 99%

New Procedures of a Fractional Order Model of Novel Coronavirus (COVID-19) Outbreak via Wavelets Method

Hedayati

Ezzati

Noeiaghdam

2021

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Coronaviruses are a group of RNA (ribonucleic acid) viruses with the capacity for rapid mutation and recombination. Coronaviruses are known to cause respiratory or intestinal infections in humans and animals. In this paper, a biologically compatible set of nonlinear fractional differential equations governing the outbreak of the novel coronavirus is suggested based on a model previously proposed in the literature. Then, this set is numerically solved utilizing two new methods employing sine–cosine and Bernoulli wavelets and their operational matrices. Moreover, the convergence of the solution is experimentally studied. Furthermore, the accuracy of the solution is proved via comparing the results with those obtained in previous research for the primary model. Furthermore, the computational costs are compared by measuring the CPU running time. Finally, the effects of the fractional orders on the outbreak of the COVID-19 are investigated.

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“…Epidemic models can also be applied for the description of other processes, such as the spread of ideas (for overviews, see [ 3 , 63 ]). We also note the use of epidemic models for the study of COVID-19 spreading [ 64 , 65 , 66 , 67 , 68 , 69 , 70 , 71 , 72 , 73 , 74 , 75 , 76 , 77 , 78 ], as well as the numerical methods for obtaining solutions to such models [ 79 , 80 ].…”

Section: Introductionmentioning

confidence: 99%

Epidemic Waves and Exact Solutions of a Sequence of Nonlinear Differential Equations Connected to the SIR Model of Epidemics

Vitanov

2023

Entropy

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The SIR model of epidemic spreading can be reduced to a nonlinear differential equation with an exponential nonlinearity. This differential equation can be approximated by a sequence of nonlinear differential equations with polynomial nonlinearities. The equations from the obtained sequence are treated by the Simple Equations Method (SEsM). This allows us to obtain exact solutions to some of these equations. We discuss several of these solutions. Some (but not all) of the obtained exact solutions can be used for the description of the evolution of epidemic waves. We discuss this connection. In addition, we use two of the obtained solutions to study the evolution of two of the COVID-19 epidemic waves in Bulgaria by a comparison of the solutions with the available data for the infected individuals.

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Dynamical Strategy to Control the Accuracy of the Nonlinear Bio-Mathematical Model of Malaria Infection

Cited by 17 publications

References 33 publications

Mathematical Modelling and Optimal Control of Malaria Using Awareness-Based Interventions

Mathematical Modelling and Optimal Control of Malaria Using Awareness-Based Interventions

New Procedures of a Fractional Order Model of Novel Coronavirus (COVID-19) Outbreak via Wavelets Method

Epidemic Waves and Exact Solutions of a Sequence of Nonlinear Differential Equations Connected to the SIR Model of Epidemics

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