TY - JOUR
T1 - Modeling disease transmission in a mixed-species grazing environment
AU - Elmojtaba, Ibrahim
N1 - Publisher Copyright:
© 2017 I.M. Elmojtaba.
PY - 2017
Y1 - 2017
N2 - In this article, we propose and analyzed a model describes the dynamics of a disease affects two different herbivores populations co-grazing together in the same environment under vaccination strategies and cross-immunity between the two species. Results show that the disease free equilibrium point (DFE) is locally asymptotically stable when the basic reproduction number, R0, is less than unity, and unstable when R0 is greater than unity, and our model undergoes a backward bifurcation, where R0 < 1 is not sufficient for the disease elimination, as R0 passes throw unity. Numerical results show that cross-immunity plays an important role in the eradication of the disease from both populations, however it plays also a negative role for both populations in the presence of vaccination strategies.
AB - In this article, we propose and analyzed a model describes the dynamics of a disease affects two different herbivores populations co-grazing together in the same environment under vaccination strategies and cross-immunity between the two species. Results show that the disease free equilibrium point (DFE) is locally asymptotically stable when the basic reproduction number, R0, is less than unity, and unstable when R0 is greater than unity, and our model undergoes a backward bifurcation, where R0 < 1 is not sufficient for the disease elimination, as R0 passes throw unity. Numerical results show that cross-immunity plays an important role in the eradication of the disease from both populations, however it plays also a negative role for both populations in the presence of vaccination strategies.
KW - Basic reproduction number
KW - Cross-immunity
KW - Mixed-species grazing
KW - Numerical simulation
KW - Vaccination
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U2 - 10.28919/cmbn/2723
DO - 10.28919/cmbn/2723
M3 - Article
AN - SCOPUS:85040241733
SN - 2052-2541
VL - 2017
JO - Communications in Mathematical Biology and Neuroscience
JF - Communications in Mathematical Biology and Neuroscience
M1 - 7
ER -