The SLI-SC Mathematical Model of African Swine Fever Transmission among Swine Farms: The Effect of Contaminated Human Vector
In this paper, a mathematical model for African swine fever is modified by considering the swine farm with the contaminated human vector that is able to infect and spread the disease among swine farms. In the developed model, we have divided the swine farm density into three related groups, namely t...
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MDPI AG
2022-07-01
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| author | Pearanat Chuchard Din Prathumwan Kamonchat Trachoo Wasan Maiaugree Inthira Chaiya |
| author_facet | Pearanat Chuchard Din Prathumwan Kamonchat Trachoo Wasan Maiaugree Inthira Chaiya |
| author_sort | Pearanat Chuchard |
| collection | DOAJ |
| description | In this paper, a mathematical model for African swine fever is modified by considering the swine farm with the contaminated human vector that is able to infect and spread the disease among swine farms. In the developed model, we have divided the swine farm density into three related groups, namely the susceptible swine farm compartment, latent swine farm compartment, and infectious swine farm compartment. On the other hand, the human vector population density has been separated into two classes, namely the susceptible human vector compartment and the infectious human vector compartment. After that, we use this model and a quarantine strategy to analyze the spread of the infection. In addition, the basic reproduction number <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>R</mi><mn>0</mn></msub></semantics></math></inline-formula> is determined by using the next-generation matrix, which can analyze the stability of the model. Finally, the numerical simulations of the proposed model are illustrated to confirm the results from theorems. The results showed that the transmission coefficient values per unit of time per individual between the human vector and the swine farm resulted in the spread of African swine fever. |
| first_indexed | 2024-03-09T12:14:49Z |
| format | Article |
| id | doaj.art-6656cbbcf1e14eab80c876841407490f |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-09T12:14:49Z |
| publishDate | 2022-07-01 |
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| spelling | doaj.art-6656cbbcf1e14eab80c876841407490f2023-11-30T22:47:43ZengMDPI AGAxioms2075-16802022-07-0111732910.3390/axioms11070329The SLI-SC Mathematical Model of African Swine Fever Transmission among Swine Farms: The Effect of Contaminated Human VectorPearanat Chuchard0Din Prathumwan1Kamonchat Trachoo2Wasan Maiaugree3Inthira Chaiya4Department of Mathematics, Faculty of Science, Ramkhamhaeng University, Bangkok 10240, ThailandDepartment of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandDepartment of Mathematics, Faculty of Science, Mahasarakham University, Mahasarakham 44150, ThailandDivision of Physics, Faculty of Science and Technology, Thammasat University, Bangkok 12120, ThailandDepartment of Mathematics, Faculty of Science, Mahasarakham University, Mahasarakham 44150, ThailandIn this paper, a mathematical model for African swine fever is modified by considering the swine farm with the contaminated human vector that is able to infect and spread the disease among swine farms. In the developed model, we have divided the swine farm density into three related groups, namely the susceptible swine farm compartment, latent swine farm compartment, and infectious swine farm compartment. On the other hand, the human vector population density has been separated into two classes, namely the susceptible human vector compartment and the infectious human vector compartment. After that, we use this model and a quarantine strategy to analyze the spread of the infection. In addition, the basic reproduction number <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>R</mi><mn>0</mn></msub></semantics></math></inline-formula> is determined by using the next-generation matrix, which can analyze the stability of the model. Finally, the numerical simulations of the proposed model are illustrated to confirm the results from theorems. The results showed that the transmission coefficient values per unit of time per individual between the human vector and the swine farm resulted in the spread of African swine fever.https://www.mdpi.com/2075-1680/11/7/329African swine fevermathematical modelstabilityinfectious diseasehuman vectorbasic reproduction number |
| spellingShingle | Pearanat Chuchard Din Prathumwan Kamonchat Trachoo Wasan Maiaugree Inthira Chaiya The SLI-SC Mathematical Model of African Swine Fever Transmission among Swine Farms: The Effect of Contaminated Human Vector Axioms African swine fever mathematical model stability infectious disease human vector basic reproduction number |
| title | The SLI-SC Mathematical Model of African Swine Fever Transmission among Swine Farms: The Effect of Contaminated Human Vector |
| title_full | The SLI-SC Mathematical Model of African Swine Fever Transmission among Swine Farms: The Effect of Contaminated Human Vector |
| title_fullStr | The SLI-SC Mathematical Model of African Swine Fever Transmission among Swine Farms: The Effect of Contaminated Human Vector |
| title_full_unstemmed | The SLI-SC Mathematical Model of African Swine Fever Transmission among Swine Farms: The Effect of Contaminated Human Vector |
| title_short | The SLI-SC Mathematical Model of African Swine Fever Transmission among Swine Farms: The Effect of Contaminated Human Vector |
| title_sort | sli sc mathematical model of african swine fever transmission among swine farms the effect of contaminated human vector |
| topic | African swine fever mathematical model stability infectious disease human vector basic reproduction number |
| url | https://www.mdpi.com/2075-1680/11/7/329 |
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