Qualitative Analysis of a Dengue Fever Model
AbstractIn this paper, a deterministic mathematical model of the Dengue virus with a nonlinear incidence function in a population is presented and rigorously analysed. The model incorporates control measures at the aquatic and adult stages of the vector (mosquito). The stability of the system is analysed for the disease-free equilibrium and the existence of endemic equilibria under certain conditions. The local stability of the Dengue-free equilibrium is investigated via the threshold parameter (reproduction number) that was obtained using the next-generation matrix techniques. The Routh–Hurwitz criterion, along with Descartes’ rule of signs change, established the local asymptotically stability of the model whenever
Share & Cite This Article
Gbadamosi, B.; Ojo, M.M.; Oke, S.I.; Matadi, M.B. Qualitative Analysis of a Dengue Fever Model. Math. Comput. Appl. 2018, 23, 33.
Gbadamosi B, Ojo MM, Oke SI, Matadi MB. Qualitative Analysis of a Dengue Fever Model. Mathematical and Computational Applications. 2018; 23(3):33.Chicago/Turabian Style
Gbadamosi, Babatunde; Ojo, Mayowa M.; Oke, Segun I.; Matadi, Maba B. 2018. "Qualitative Analysis of a Dengue Fever Model." Math. Comput. Appl. 23, no. 3: 33.
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.