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# The Mathematical Model for Streptococcus suis Infection in Pig-Human Population with Humidity Effect

Inthira Chaiya1, Kamonchat Trachoo1, Kamsing Nonlaopon2, Din Prathumwan2,*
1 Department of Mathematics, Faculty of Science, Mahasarakham University, Mahasarakham, 44150, Thailand
2 Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, Thailand
* Corresponding Author: Din Prathumwan. Email:
(This article belongs to this Special Issue: Role of Computer in Modelling & Solving Real-World Problems)

Computers, Materials & Continua 2022, 71(2), 2981-2998. https://doi.org/10.32604/cmc.2022.021856

Received 17 July 2021; Accepted 27 September 2021; Issue published 07 December 2021

### Abstract

﻿In this paper, we developed a mathematical model for Streptococcus suis, which is an epidemic by considering the moisture that affects the infection. The disease is caused by Streptococcus suis infection found in pigs which can be transmitted to humans. The patients of Streptococcus suis were generally found in adults males and the elderly who contacted pigs or who ate uncooked pork. In human cases, the infection can cause a severe illness and death. This disease has an impact to the financial losses in the swine industry. In the development of models for this disease, we have divided the population into 7 related groups which are susceptible pig compartment, infected pig compartment, quarantined pig compartment, recovered pig compartment, susceptible human compartment, infected human compartment, and recovered human compartment. After that, we use this model and a quarantine strategy to analyze the spread of the infection. In addition, the basic reproduction number is determined by using the next-generation matrix which can analyze the stability of the model. The numerical simulations of the proposed model are illustrated to confirm the results from theorems. The results showed that there is an effect from moisture to the disease transmission. When the moisture increases the disease infection also increases.

### Keywords

Streptococcus suis; mathematical model; stability analysis; infectious disease; reproduction number

I. Chaiya, K. Trachoo, K. Nonlaopon and D. Prathumwan, "The mathematical model for streptococcus suis infection in pig-human population with humidity effect," Computers, Materials & Continua, vol. 71, no.2, pp. 2981–2998, 2022.

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