English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The rampant phenomenon of overpopulation and the remarkable increase of humanmovements over the last decade have caused an aggressive re-emergence of denguefever, which made it the subject of several research fields. In this regard,mathematical modeling, and notably through compartmental systems, is consideredas an eminent tool to obtain a clear overview of this disease's prevalencebehavior. In reality, and like all epidemics, the dengue spread phenomenon isoften subject to some randomness due to the different natural environmentfluctuations. For this reason, a mathematical formulation that considerssuitably as much as possible the external stochasticity is indeed required. Bythis token, we strive in this work to present and analyze a generalizedstochastic dengue model that incorporates both slight and huge environmentalperturbations. More precisely, our proposed model is represented under the formof an It\^o-L\'evy stochastic differential equations system that we demonstrateits mathematical well-posedness and biological significance. Based on somenovel analytical techniques, we prove, and under appropriate hypotheticalframeworks, of course, two important asymptotic properties, namely: extinctionand persistence in the mean. The theoretical findings show that the dynamics ofour disturbed dengue model are mainly determined by the parameters that arenarrowly related to the small perturbations' intensities and the jumpsmagnitudes. In the end, we give certain numerical illustrative examples tosupport our theoretical findings and to highlight the effect of the adoptedmathematical techniques on the results.

A novel mathematical analysis and threshold reinforcement of a stochastic dengue epidemic model with L\'evy jumps