The theory of the principal eigenvalue is developed for an elliptic eigenvalue problem
associated with a linear parabolic cooperative system with some zero diffusion coefficients …

SARS-CoV-2 started propagating worldwide in January 2020 and has now reached virtually
all communities on the planet. This short review provides evidence of this spread and …

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In this paper, we propose a multipatch model to study the effects of population dispersal on
the spatial spread of malaria between patches. The basic reproduction number R_0 is …

Empirical and statistical evidence suggests that the number of trips taken per year varies
significantly among people by age, gender, income, occupation, ethnicity, region, and so on …

The reemergence and geographical dispersal of vector-borne diseases challenge global
health experts around the world and in particular, dengue poses increasing difficulties in the …

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 …

In this paper, we consider a deterministic malaria transmission model with standard
incidence rate and treatment. Human population is divided into susceptible, infectious and …

South Africa is committed to eliminating malaria with a goal of zero local transmission by
2018. Malaria elimination strategies may be unsuccessful if they focus only on vector …

In this paper, we propose a two-patch SIRS model with a nonlinear incidence rate: β i (1+ ν i
I i) I i S i and nonconstant dispersal rates, where the dispersal rates of susceptible and …