Open Access Open Access  Restricted Access Subscription or Fee Access

A Mathematical Model for Dengue Disease with Saturation and Bilinear Incidence

Manju Agarwal, Vinay Verma


The paper investigates the Local stability of a dengue epidemic model with saturation and bilinear incidence. The constant human recruitment rate and exponential natural death, as well as vector population with asymptotically constant population, are incorporated into the model. The model exhibits two equilibria, namely, the disease-free equilibrium (DFE) and the endemic equilibrium. The stability of these two equilibria is controlled by the threshold number R_o. It is shown that if R_o is less than one, the disease-free equilibrium is locally asymptotically stable and R_o is greater than one, the unique endemic equilibrium is locally asymptotically stable.


host population, vector population, dengue disease, threshold number, Stability analysis, numerical simulation.

Full Text:



  • There are currently no refbacks.

Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.