Numerical Solution of Hirota-satsuma Coupled Kdv System by Rbf-ps Method

Sadeeq, Mohammed I.; Omar, Faraj Mustafa Omar; Pirdawood, Mardan A.

doi:10.26682/sjuod.2022.25.2.15

Cited by 2 publications

(1 citation statement)

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“…These methods encompass the Euler method, the Runge-Kutta method, the Implicit-Explicit (IMEX) Runge-Kutta method, the Signal Diagonally Implicit Runge-Kutta (SDIRK) methods, and the Semi-Implicit and Explicit Runge-Kutta Methods [12][13][14] . Another approach involves the utilization of the Finite Difference method [15] . Among these techniques, the Explicit Runge-Kutta method (ERK) has gained significant prominence for resolving problems expressed in a differential equation system (equation 1).…”

Section: Introductionmentioning

confidence: 99%

Integrating Sensitivity Analysis and Explicit Runge-Kutta Method for Modeling the Effect of Exposure Rate to Contaminated Water on Cholera Disease Spread

Pirdawood,

Rasool,

Aziz

2023

PJBAS

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Mathematical modeling and computer simulations aid in global transmission parameter estimation. Equations, tools, and behaviour assessments are vital in disease control modeling. The bacteria Vibrio cholera causes the waterborne infectious disease cholera, which causes severe diarrhoea and fast dehydration. Haiti; exemplifies cholera devastating impact. Although it has been acknowledged in history, there is a noticeable absence of efficient control strategies. In this paper, we review several papers on cholera models. First; it can answer important questions about global health care and provide useful recommendations. After that; we examine the cholera model using sensitivity analyses with numerical simulation for all states. Full normalizations, half normalizations, and non-normalizations are used to evaluate the local sensitivities to each model state about the model parameters. According to the sensitivity analysis, almost every model parameter might affect the virus's spread among susceptible, and the most sensitive parameters are 𝑎 and λ(B), where 𝑎 is the rate of contact with polluted water and 𝜆(𝐵) depended on the state 𝐵 (Density of toxigenic Vibrio cholera in water). So, to prevent the spread of this disease, depending on the simulations, the susceptible and infected people should be more careful about the parameters 𝑎 and λ(B). Finally; we intend to solve the Cholera disease using both the fifth order and fourth order ERK methods. We aim to then juxtapose our outcomes with those achieved through the classical fourth order Runge-Kutta Method.

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