Ecoepidemiological Model and Analysis of MSV Disease Transmission Dynamics in Maize Plant
In this paper, an ecoepidemiological deterministic model for the transmission dynamics of maize streak virus (MSV) disease in maize plant is proposed and analysed qualitatively using the stability theory of differential equations.The basic reproduction number with respect to the MSV free equilibrium...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2019/7965232 |
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| _version_ | 1832547590267207680 |
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| author | Haileyesus Tessema Alemneh Oluwole Daniel Makinde David Mwangi Theuri |
| author_facet | Haileyesus Tessema Alemneh Oluwole Daniel Makinde David Mwangi Theuri |
| author_sort | Haileyesus Tessema Alemneh |
| collection | DOAJ |
| description | In this paper, an ecoepidemiological deterministic model for the transmission dynamics of maize streak virus (MSV) disease in maize plant is proposed and analysed qualitatively using the stability theory of differential equations.The basic reproduction number with respect to the MSV free equilibrium is obtained using next generation matrix approach. The conditions for local and global asymptotic stability of MSV free and endemic equilibria are established. The model exhibits forward bifurcation and the sensitivity indices of various embedded parameters with respect to the MSV eradication or spreading are determined. Numerical simulation is performed and dispalyed graphically to justify the analytical results. |
| format | Article |
| id | doaj-art-98797ae8d3fa4f8c9047b9947f6b7131 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-98797ae8d3fa4f8c9047b9947f6b71312025-02-03T06:44:19ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252019-01-01201910.1155/2019/79652327965232Ecoepidemiological Model and Analysis of MSV Disease Transmission Dynamics in Maize PlantHaileyesus Tessema Alemneh0Oluwole Daniel Makinde1David Mwangi Theuri2Pan African University Institute of Basic Sciences, Technology and Innovation, Nairobi, KenyaFaculty of Military Science, Stellenbosch University, Stellenbosch, South AfricaDepartment of Mathematics, Jomo Kenyatta University, Nairobi, KenyaIn this paper, an ecoepidemiological deterministic model for the transmission dynamics of maize streak virus (MSV) disease in maize plant is proposed and analysed qualitatively using the stability theory of differential equations.The basic reproduction number with respect to the MSV free equilibrium is obtained using next generation matrix approach. The conditions for local and global asymptotic stability of MSV free and endemic equilibria are established. The model exhibits forward bifurcation and the sensitivity indices of various embedded parameters with respect to the MSV eradication or spreading are determined. Numerical simulation is performed and dispalyed graphically to justify the analytical results.http://dx.doi.org/10.1155/2019/7965232 |
| spellingShingle | Haileyesus Tessema Alemneh Oluwole Daniel Makinde David Mwangi Theuri Ecoepidemiological Model and Analysis of MSV Disease Transmission Dynamics in Maize Plant International Journal of Mathematics and Mathematical Sciences |
| title | Ecoepidemiological Model and Analysis of MSV Disease Transmission Dynamics in Maize Plant |
| title_full | Ecoepidemiological Model and Analysis of MSV Disease Transmission Dynamics in Maize Plant |
| title_fullStr | Ecoepidemiological Model and Analysis of MSV Disease Transmission Dynamics in Maize Plant |
| title_full_unstemmed | Ecoepidemiological Model and Analysis of MSV Disease Transmission Dynamics in Maize Plant |
| title_short | Ecoepidemiological Model and Analysis of MSV Disease Transmission Dynamics in Maize Plant |
| title_sort | ecoepidemiological model and analysis of msv disease transmission dynamics in maize plant |
| url | http://dx.doi.org/10.1155/2019/7965232 |
| work_keys_str_mv | AT haileyesustessemaalemneh ecoepidemiologicalmodelandanalysisofmsvdiseasetransmissiondynamicsinmaizeplant AT oluwoledanielmakinde ecoepidemiologicalmodelandanalysisofmsvdiseasetransmissiondynamicsinmaizeplant AT davidmwangitheuri ecoepidemiologicalmodelandanalysisofmsvdiseasetransmissiondynamicsinmaizeplant |