# Numerical Modeling

Numerical modeling of communicable disease is a device to understand the instrument of how disease blowouts and how it can be measured. we have studied numerically the dynamics of typhoid fever disease in this paper. We frame an unconditionally stable Non-Standard Finite Difference (NSFD) scheme for a mathematical model of Typhoid Fever Disease.

The introduce numerical scheme is bounded, dynamically include and describe the positivity of the solution, which is one of the important requirements when modeling a prevalent disease. The comparison among the developed Non-Standard Finite Difference scheme, Euler method and Runge-Kutta method of order four (RK-4) shows the effectiveness of the proposed Non-Standard Finite Difference scheme. NSFD scheme shows convergence to the true equilibrium points of the model for any time steps used but Euler and RK-4 fail for large time steps.

• Keywords: Typhoid Disease, Dynamical System, Numerical Modeling, Convergence.

## Introduction

Typhoid fever affects millions of people worldwide each year, where over 20 million cases are reported and kills approximately 200,000 annually. For instance, in Africa it is estimated that annually 400,000 cases happen and an incidence of 50 per 100,00.

The mathematical modeling for transmission dynamics of typhoid fever disease is a capable approach to appreciate the behavior of disease in a population and on this basis, some capable measures can be modeled to prevent infection. Dynamical models for the transmission of disease objects in a human population, based on the Kermack and McKendrick SIR classical epidemic model, were proposed. These models deliver evaluations for the temporal advancement of infected nodes in a population.

In this paper we construct an unreservedly convergent numerical model for the transmission dynamics for typhoid fever disease which preserves all the essential properties of the continuous model. We considered the mathematical model of disease transmission in a population that has been discussed by Pitzer in.

## Mathematical Model

• Susceptible entities class at time t.P(t)
• Protected individual class at time t.I(t)
• Infected individuals class at time t.T(t)
• Treated class time t.
• The rate at which individuals recruited.
• Natural death rate.
• Loss of protection rate.
• Rate of infection.
• Rate of treatment.
• Disease induced mortality rate.

Calculate the price
Pages (550 words)
\$0.00
*Price with a welcome 15% discount applied.
Pro tip: If you want to save more money and pay the lowest price, you need to set a more extended deadline.
We know how difficult it is to be a student these days. That's why our prices are one of the most affordable on the market, and there are no hidden fees.

Instead, we offer bonuses, discounts, and free services to make your experience outstanding.
How it works
Receive a 100% original paper that will pass Turnitin from a top essay writing service
step 1
Fill out the order form and provide paper details. You can even attach screenshots or add additional instructions later. If something is not clear or missing, the writer will contact you for clarification.
Pro service tips
How to get the most out of your experience with MyStudyWriters
One writer throughout the entire course
If you like the writer, you can hire them again. Just copy & paste their ID on the order form ("Preferred Writer's ID" field). This way, your vocabulary will be uniform, and the writer will be aware of your needs.
The same paper from different writers
You can order essay or any other work from two different writers to choose the best one or give another version to a friend. This can be done through the add-on "Same paper from another writer."
Copy of sources used by the writer
Our college essay writers work with ScienceDirect and other databases. They can send you articles or materials used in PDF or through screenshots. Just tick the "Copy of sources" field on the order form.
Testimonials
See why 20k+ students have chosen us as their sole writing assistance provider
Check out the latest reviews and opinions submitted by real customers worldwide and make an informed decision.
excellent work
Customer 452773, March 12th, 2023
very good
Customer 452773, March 26th, 2023
excellent job as always
Customer 452773, September 2nd, 2023
Thank you
Customer 452773, March 19th, 2023
excellent job
Customer 452773, August 12th, 2023
Thank you for your hard work and help.
Customer 452773, February 13th, 2023
Human Resources Management (HRM)
excellent job
Customer 452773, June 25th, 2023
always perfect work and always completed early
Customer 452773, February 21st, 2023
great job as always
Customer 452773, February 26th, 2023
Management
Thank you!!! I received my order in record timing.
Customer 452551, February 9th, 2021
Social Work and Human Services
Although it took 2 revisions I am satisfied but I did receive it late because of that.
Customer 452603, March 25th, 2021
Thanks
Customer 452773, March 3rd, 2023
11,595
Customer reviews in total
96%
Current satisfaction rate
3 pages
Average paper length
37%
Customers referred by a friend
Use a coupon FIRST15 and enjoy expert help with any task at the most affordable price.
Claim my 15% OFF Order in Chat