Modeling Transmission Dynamics of<i>Streptococcus suis</i>with Stage Structure and Sensitivity Analysis

Shen, Chaojian; Li, Mingtao; Zhang, Wei; Yang, Ying; Wang, Youming; Hou, Qiang; Huang, Biao; Lu, Chengping

doi:10.1155/2014/432602

Cited by 4 publications

(3 citation statements)

References 17 publications

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“…1. Note that the parameters and initial values are obtained from data in [35] and [42]. The solution trajectories tend to the disease-free equilibrium (E 1 ) which satisfy Theorem 1 with the remaining parameter values μ = 0.9, α = 0.9, γ = 0.9, M = 0.9, a = 0.9, β 2 = 0.1, and δ = 0.9 as shown in Fig.…”

Section: Figure 2: the Bifurcation Region 4 Numerical Examples And Discussionmentioning

confidence: 99%

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

Chaiya¹,

Trachoo²,

Nonlaopon³

et al. 2022

Computers, Materials &Amp; Continua

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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 R 0 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.

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Section: Figure 2: the Bifurcation Region 4 Numerical Examples And Discussionmentioning

confidence: 99%

“…However, a few pieces of the research proposed and studied the mathematical model for Streptococcus suis. Shen et al [35] proposed the SIQRW model to explore the outbreaks of S. Suis. Giang et al proposed the stochastic model and SEI model to predict the behavior of the disease and fitted the model parameters with collected data [9].…”

Section: Introductionmentioning

confidence: 99%

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

Chaiya¹,

Trachoo²,

Nonlaopon³

et al. 2022

Computers, Materials &Amp; Continua

View full text Add to dashboard Cite

show abstract

“…However, fewer research studies have been conducted on the mathematical models for S. suis infection. Shen et al [31] introduced the SIQRW model to study the dynamic of S. Suis by using ordinary differential equations. Giang et al [16] introduced the mathematical model to predict the behavior of the disease, and estimated the parameters in the model with collected data.…”

Section: Introductionmentioning

confidence: 99%

Study of Transmission Dynamics of Streptococcus suis Infection Mathematical Model between Pig and Human under ABC Fractional Order Derivative

2022

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In this paper, a mathematical model for Streptococcus suis infection is improved by using the fractional order derivative. The modified model also investigates the transmission between pigs and humans. The proposed model can classify the pig population density into four classes, which are pig susceptible class, pig infectious class, pig quarantine class, and pig recovery class. Moreover, the human population density has been separated into three classes, these are human susceptible class, human infectious class, and human recovery class. The spread of the infection is analyzed by considering the contact between humans and pigs. The basic reproduction number (R0), the infectious indicator, is carried out using the next generation matrix. The disease-free equilibrium is locally asymptotically stable if R0<1, and the endemic equilibrium is locally asymptotically stable if R0>1. The theoretical analyses of the fractional order derivative model, existence and uniqueness, have been proposed. The numerical examples were illustrated to support the proposed stability theorems. The results show that the fractional order derivative model provides the various possible solution trajectories with different fractional orders for the same parameters. In addition, transmission between pigs and humans resulted in the spread of Streptococcus suis infection.

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Control and prevention of bacterial diseases in swine

Maes

Piñeiro²,

Haesebrouck

et al. 2021

Advancements and Technologies in Pig and Poultry Bacterial Disease Control

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Modeling Transmission Dynamics ofStreptococcus suiswith Stage Structure and Sensitivity Analysis

Cited by 4 publications

References 17 publications

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

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

Study of Transmission Dynamics of Streptococcus suis Infection Mathematical Model between Pig and Human under ABC Fractional Order Derivative

Control and prevention of bacterial diseases in swine

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