-
Article
Vaccination Strategies for SIR Vector-Transmitted Diseases
Vector-borne diseases are one of the major public health problems in the world with the fastest spreading rate. Control measures have been focused on vector control, with poor results in most cases. Vaccines s...
-
Article
Seasonality and Outbreaks in West Nile Virus Infection
In this paper we analyze the impact of seasonal variations on the dynamics of West Nile Virus infection. We are interested in the generation of new epidemic peaks starting from an endemic state. In many cases,...
-
Article
Modelling the dynamics of West Nile Virus
In this work we formulate and analyze a mathematical model for the transmission of West Nile Virus (WNV) infection between vector (mosquito) and avian population. We find the Basic Reproductive Number ...
-
Article
Coexistence of different serotypes of dengue virus
We formulate a non–linear system of differential equations that models the dynamics of dengue fever. This disease is produced by any of the four serotypes of dengue arbovirus. Each serotype produces permanent...
-
Article
A model for dengue disease with variable human population
A model for the transmission of dengue fever with variable human population size is analyzed. We find three threshold parameters which govern the existence of the endemic proportion equilibrium, the increase ...
