A Mathematical Model for Coinfection of Listeriosis and Anthrax Diseases
Listeriosis and Anthrax are fatal zoonotic diseases caused by Listeria monocytogene and Bacillus Anthracis, respectively. In this paper, we proposed and analysed a compartmental Listeriosis-Anthrax coinfection model describing the transmission dynamics of Listeriosis and Anthrax epidemic in human po...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2018/1725671 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850221934997929984 |
|---|---|
| author | Shaibu Osman Oluwole Daniel Makinde |
| author_facet | Shaibu Osman Oluwole Daniel Makinde |
| author_sort | Shaibu Osman |
| collection | DOAJ |
| description | Listeriosis and Anthrax are fatal zoonotic diseases caused by Listeria monocytogene and Bacillus Anthracis, respectively. In this paper, we proposed and analysed a compartmental Listeriosis-Anthrax coinfection model describing the transmission dynamics of Listeriosis and Anthrax epidemic in human population using the stability theory of differential equations. Our model revealed that the disease-free equilibrium of the Anthrax model only is locally stable when the basic reproduction number is less than one. Sensitivity analysis was carried out on the model parameters in order to determine their impact on the disease dynamics. Numerical simulation of the coinfection model was carried out and the results are displayed graphically and discussed. We simulate the Listeriosis-Anthrax coinfection model by varying the human contact rate to see its effects on infected Anthrax population, infected Listeriosis population, and Listeriosis-Anthrax coinfected population. |
| format | Article |
| id | doaj-art-7127255e980645e99e5aec83ca77a9e9 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-7127255e980645e99e5aec83ca77a9e92025-08-20T02:06:31ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252018-01-01201810.1155/2018/17256711725671A Mathematical Model for Coinfection of Listeriosis and Anthrax DiseasesShaibu Osman0Oluwole Daniel Makinde1Department of Mathematics, Pan African University, Institute for Basic Sciences, Technology and Innovations, Box 62000-00200, Nairobi, KenyaFaculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South AfricaListeriosis and Anthrax are fatal zoonotic diseases caused by Listeria monocytogene and Bacillus Anthracis, respectively. In this paper, we proposed and analysed a compartmental Listeriosis-Anthrax coinfection model describing the transmission dynamics of Listeriosis and Anthrax epidemic in human population using the stability theory of differential equations. Our model revealed that the disease-free equilibrium of the Anthrax model only is locally stable when the basic reproduction number is less than one. Sensitivity analysis was carried out on the model parameters in order to determine their impact on the disease dynamics. Numerical simulation of the coinfection model was carried out and the results are displayed graphically and discussed. We simulate the Listeriosis-Anthrax coinfection model by varying the human contact rate to see its effects on infected Anthrax population, infected Listeriosis population, and Listeriosis-Anthrax coinfected population.http://dx.doi.org/10.1155/2018/1725671 |
| spellingShingle | Shaibu Osman Oluwole Daniel Makinde A Mathematical Model for Coinfection of Listeriosis and Anthrax Diseases International Journal of Mathematics and Mathematical Sciences |
| title | A Mathematical Model for Coinfection of Listeriosis and Anthrax Diseases |
| title_full | A Mathematical Model for Coinfection of Listeriosis and Anthrax Diseases |
| title_fullStr | A Mathematical Model for Coinfection of Listeriosis and Anthrax Diseases |
| title_full_unstemmed | A Mathematical Model for Coinfection of Listeriosis and Anthrax Diseases |
| title_short | A Mathematical Model for Coinfection of Listeriosis and Anthrax Diseases |
| title_sort | mathematical model for coinfection of listeriosis and anthrax diseases |
| url | http://dx.doi.org/10.1155/2018/1725671 |
| work_keys_str_mv | AT shaibuosman amathematicalmodelforcoinfectionoflisteriosisandanthraxdiseases AT oluwoledanielmakinde amathematicalmodelforcoinfectionoflisteriosisandanthraxdiseases AT shaibuosman mathematicalmodelforcoinfectionoflisteriosisandanthraxdiseases AT oluwoledanielmakinde mathematicalmodelforcoinfectionoflisteriosisandanthraxdiseases |