Dynamics of Rabies Epidemics in Vampire Bats
In order to study the transmission of rabies epidemics in vampire bats, we propose a mathematical model for vampire bat rabies virus. A threshold R0 is identified which determines the outcome of the disease. If R0<1, the disease-free equilibrium is globally asymptotically stable, and if R0>1,...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/7032451 |
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| _version_ | 1841524418349629440 |
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| author | Liang Tian Juping Zhang |
| author_facet | Liang Tian Juping Zhang |
| author_sort | Liang Tian |
| collection | DOAJ |
| description | In order to study the transmission of rabies epidemics in vampire bats, we propose a mathematical model for vampire bat rabies virus. A threshold R0 is identified which determines the outcome of the disease. If R0<1, the disease-free equilibrium is globally asymptotically stable, and if R0>1, the endemic equilibrium is globally asymptotically stable with certain conditions. Through the numerical simulation, the correctness of the theoretical results is verified. We carry out the sensitivity analysis of the parameters which provide a theoretical basis for preventing and controlling the transmission of bat rabies. |
| format | Article |
| id | doaj-art-c40150b425034869b51ef6c7de3c3069 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-c40150b425034869b51ef6c7de3c30692025-02-03T05:53:21ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/70324517032451Dynamics of Rabies Epidemics in Vampire BatsLiang Tian0Juping Zhang1Complex Systems Research Center, Shanxi University, Taiyuan, Shanxi 030006, ChinaComplex Systems Research Center, Shanxi University, Taiyuan, Shanxi 030006, ChinaIn order to study the transmission of rabies epidemics in vampire bats, we propose a mathematical model for vampire bat rabies virus. A threshold R0 is identified which determines the outcome of the disease. If R0<1, the disease-free equilibrium is globally asymptotically stable, and if R0>1, the endemic equilibrium is globally asymptotically stable with certain conditions. Through the numerical simulation, the correctness of the theoretical results is verified. We carry out the sensitivity analysis of the parameters which provide a theoretical basis for preventing and controlling the transmission of bat rabies.http://dx.doi.org/10.1155/2020/7032451 |
| spellingShingle | Liang Tian Juping Zhang Dynamics of Rabies Epidemics in Vampire Bats Complexity |
| title | Dynamics of Rabies Epidemics in Vampire Bats |
| title_full | Dynamics of Rabies Epidemics in Vampire Bats |
| title_fullStr | Dynamics of Rabies Epidemics in Vampire Bats |
| title_full_unstemmed | Dynamics of Rabies Epidemics in Vampire Bats |
| title_short | Dynamics of Rabies Epidemics in Vampire Bats |
| title_sort | dynamics of rabies epidemics in vampire bats |
| url | http://dx.doi.org/10.1155/2020/7032451 |
| work_keys_str_mv | AT liangtian dynamicsofrabiesepidemicsinvampirebats AT jupingzhang dynamicsofrabiesepidemicsinvampirebats |