Solutions of the epidemic of EIAV infection by HPM

Balamuralitharan, S.; Geethamalini, S.

doi:10.1088/1742-6596/1000/1/012023

Cited by 11 publications

(6 citation statements)

References 9 publications

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“…Furthering in the area of disease control strategy, computer simulations are often applied by researchers after obtaining the approximate solutions of these mathematical models. Several methods such as the one introduced by [3,4] has been used by researchers such [5][6][7], to conduct investigations on different mathematical models. [8,9], applied a numerical method introduced by [10], to carry out simulation in their model.…”

Section: Introductionmentioning

confidence: 99%

Analysis and Simulation of Mathematical Model of COVID-19 Incorporated with Vaccination and Media Induced Fear

Bashiru

Kolawole²,

Olaosebikan³

2023

Trends Sci

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COVID-19 pandemic is now increasing concern to authorities and public health officials. The study is aimed to investigate the impact of vaccination in the absence of media induced fear. In this research, analysis and simulation of a mathematical model of COVID-19 incorporated with media induced fear and vaccination was made, the total population is divided into 5 sub-population classes; Susceptible, Exposed, Infected, Quarantine and Recovery. The disease free and the endemic equilibrium of the model were carried out and the basic reproduction number was obtained using the next generation matrix. The stability analysis of the model was done and it was ascertained that the disease free equilibrium of the biological model is stable. Due to its efficiency and accuracy in handling nonlinear coupled ordinary differential equations, the homotopy perturbation method is applied to obtain the approximate solution of the mathematical model and the obtained results was simulated using the computation software Maple 18 to study the impact of vaccination in each compartment of the model when the media induced fear. The outcome of the simulation process were presented graphically and interpreted accordingly and it was discovered that in eradicating the spread of COVID-19 in a society where there is no fear, vaccination is an alternative and better measure. HIGHLIGHTS Model formulation with vaccination Stability analysis of the disease free equilibrium and endemic equilibrium Numerical simulation of the mathematical model using the homotopy perturbation method Analysis of the impact of vaccination in controlling the spread of COVID-19 in the absence of media induced fear GRAPHICAL ABSTRACT

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Section: Introductionmentioning

confidence: 99%

Analysis and Simulation of Mathematical Model of COVID-19 Incorporated with Vaccination and Media Induced Fear

Bashiru

Kolawole²,

Olaosebikan³

2023

Trends Sci

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“…Previous modeling of EIAV analyzed virus and infected-cell dynamics with two viral strains and constant or decaying antibody levels [ 18 ], examined the protective effect of antibodies against multiple mutants [ 19 ], calculated quantitative kinetic estimates of antibody escape [ 20 ], showed that long-term dynamics depend on the ratio of cell-to-cell versus free-virus transmission [ 21 ] and calculated key kinetic parameters in the absence of adaptive immunity [ 22 ]. Other studies used EIAV as a case study to examine the mechanics of viral infection without cytopathicity [ 23 ], applied homotopy analysis to determine semi-analytical solutions [ 24 ], utilized global stability to estimate EIAV parameters [ 25 ], showed the existence of a Hopf bifurcation in a model of EIAV infection with a delay in the CTL response [ 26 ], and determined the number of vaccinations needed to prevent mutant escape [ 27 ].…”

Section: Introductionmentioning

confidence: 99%

Key Factors and Parameter Ranges for Immune Control of Equine Infectious Anemia Virus Infection

Hull-Nye

Meadows

Smith

et al. 2023

Viruses

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Equine Infectious Anemia Virus (EIAV) is an important infection in equids, and its similarity to HIV creates hope for a potential vaccine. We analyze a within-host model of EIAV infection with antibody and cytotoxic T lymphocyte (CTL) responses. In this model, the stability of the biologically relevant endemic equilibrium, characterized by the coexistence of long-term antibody and CTL levels, relies upon a balance between CTL and antibody growth rates, which is needed to ensure persistent CTL levels. We determine the model parameter ranges at which CTL and antibody proliferation rates are simultaneously most influential in leading the system towards coexistence and can be used to derive a mathematical relationship between CTL and antibody production rates to explore the bifurcation curve that leads to coexistence. We employ Latin hypercube sampling and least squares to find the parameter ranges that equally divide the endemic and boundary equilibria. We then examine this relationship numerically via a local sensitivity analysis of the parameters. Our analysis is consistent with previous results showing that an intervention (such as a vaccine) intended to control a persistent viral infection with both immune responses should moderate the antibody response to allow for stimulation of the CTL response. Finally, we show that the CTL production rate can entirely determine the long-term outcome, regardless of the effect of other parameters, and we provide the conditions for this result in terms of the identified ranges for all model parameters.

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“…Finally, it is given for one beautiful example of the numerical simulation of predator prey model that MATLAB code is valuable for many mathematical modeling areas and uses it to all other simulation like delay also [13]. The PDE MATLAB codes are the mathematical modeling of all areas such as valid for numerical simulations and many real life problems [14,15]. Hence I conclude that this paper is useful for all researchers and same it will be used in many fields [16].…”

Section: Introductionmentioning

confidence: 99%

“…Hence I conclude that this paper is useful for all researchers and same it will be used in many fields [16]. Already I have published many papers in international journals [5][6][7][8][9][10][11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

MATLAB Programming of Nonlinear Equations of Ordinary Differential Equations and Partial Differential Equations

Balamuralitharan¹

2018

IJET

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Solutions of the epidemic of EIAV infection by HPM

Cited by 11 publications

References 9 publications

Analysis and Simulation of Mathematical Model of COVID-19 Incorporated with Vaccination and Media Induced Fear

Analysis and Simulation of Mathematical Model of COVID-19 Incorporated with Vaccination and Media Induced Fear

Key Factors and Parameter Ranges for Immune Control of Equine Infectious Anemia Virus Infection

MATLAB Programming of Nonlinear Equations of Ordinary Differential Equations and Partial Differential Equations

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