Mathematical and numerical modelling of the cardiovascular system is a research topic that
has attracted remarkable interest from the mathematical community because of its intrinsic …

This article reviews the past 15 years of developments in regional ocean data assimilation. A
variety of scientific, management, and safety-related objectives motivate marine scientists to …

In this paper, an extended SEIR model with a vaccination compartment is proposed to
simulate the novel coronavirus disease (COVID-19) spread in Saudi Arabia. The model …

Mathematical and numerical modelling of the human cardiovascular system has attracted
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …

Data assimilation algorithms combine a numerical model with observations in a quantitative
way. For an optimal combination either variational minimization algorithms or ensemble …

This paper considers implications of different forms of the ensemble transformation in the
ensemble square root filters (ESRFs) for the performance of ESRF-based data assimilation …

Global climate change and anthropogenic impacts lead to alterations in the water cycle,
water resource availability and the frequency and intensity of floods and droughts. As a …

In this work, we extend existing models of vector-borne diseases by including density-
dependent rates and some existing control mechanisms to decrease the disease burden in …

We propose a general reduced-order filtering strategy adapted to Unscented Kalman
Filtering for any choice of sampling points distribution. This provides tractable filtering …

Currently, Atangana proposed new fractal-fractional operators that had extensively used to
observe the unpredictable elements of an issue. COVID-19 is a pervasive infection today …