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.
Highlights
Nowadays, one of the major problems in the world is zoonotic pathogen such as Rift Valley fever, SARS, pandemic influenza H1N1 2009, Yellow fever, Avian Influenza (H5N1) and (H7N9), West Nile virus [1], the Middle East respiratory syndrome coronavirus (MERSCoV) [2], and novel coronavirus (COVID-19) [3]
The results showed that the number of pig infectious cases dramatically decreased in the first quarter
We have proposed the mathematical model for predicting the disease transmission of Streptococcus suis between pigs and humans, which is developed from the SIQR model that considered only in the pig population
Summary
One of the major problems in the world is zoonotic pathogen such as Rift Valley fever, SARS, pandemic influenza H1N1 2009, Yellow fever, Avian Influenza (H5N1) and (H7N9), West Nile virus [1], the Middle East respiratory syndrome coronavirus (MERSCoV) [2], and novel coronavirus (COVID-19) [3]. Streptococcus suis is an infectious agent which is widely found in pigs around the world. S. suis serotype 9 which is the most common found in pigs in Europe was found the first case infection in human in May 2013 locating in northern of Thailand [17]. A few pieces of the research proposed and studied the mathematical model for Streptococcus suis. To our knowledge, no research considering the disease transmission between pigs and humans for Streptococcus suis. We propose a mathematical model to describe the disease transmission of Streptococcus suis in humans and pigs. This work contains the analysis of the model and numerical simulations to study the dynamic behavior of the disease. This paper is constructed as follows; In Section 2, we present the mathematical model which expresses the Streptococcus suis transmission.
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