Mathematical models have been used to provide an explicit framework for understanding
malaria transmission dynamics in human population for over 100 years. With the disease …

Xylella fastidiosa is a notorious plant pathogenic bacterium that represents a threat to crops
worldwide. Its subspecies, Xylella fastidiosa subsp. fastidiosa is the causal agent of Pierce's …

We perform sensitivity analyses on a mathematical model of malaria transmission to
determine the relative importance of model parameters to disease transmission and …

We present an ordinary differential equation mathematical model for the spread of malaria in
human and mosquito populations. Susceptible humans can be infected when they are bitten …

A new stage-structured model for the population dynamics of the mosquito (a major vector
for numerous vector-borne diseases), which takes the form of a deterministic system of non …

In this paper we present a mathematical model of malaria transmission. The model is an
autonomous system, constructed by considering two models: a model of vector population …

A multi-patch and multi-group modeling framework describing the dynamics of a class of
diseases driven by the interactions between vectors and hosts structured by groups is …

When both human and mosquito populations vary, forward bifurcation occurs if the basic
reproduction number R 0 is less than one in the absence of disease-induced death. When …

Malaria is one of the fatal diseases caused by plasmodium parasites and transmitted to
humans through biting of the female of {\it Anopheles} mosquitoes. We proposed a …

In Colombia, malaria is a public health problem that affects a large part of its population.
Above motivated us to formulate an optimal control problem considering the following …