This paper deals with the effects of partial differential equations on the development of
spatiotemporal patterns in reaction–diffusion systems. These systems describe how the …

In this paper, Chebyshev polynomials—which are ultraspherical in the first and second kind
and hence symmetric, while the third and fourth order are not ultraspherical and are hence …

Hepatitis B disease is an infection caused by a virus that severely damages the liver. The
disease can be both acute and chronic. In this article, we design a new nonlinear SVEICHR …

The COVID-19 pandemic has become a worldwide concern and has caused great
frustration in the human community. Governments all over the world are struggling to combat …

Whooping cough, or pertussis, is an infectious disease that causes serious threats to people
of all ages, specifically to infant and young children, all over the world. Due to the severe …

Lumpy skin disease (LSD) is an infectious disease that affects cattle population. The disease
has disrupted economy of the affected countries due to decline in dairy products and …

In this manuscript, we append the hospitalization, diagnosed and isolation compartments to
the classic SEIR model to design a new COVID‐19 epidemic model. We further subdivide …

In this article, we use the applications of special functions in the form of Chebyshev
polynomials to find the approximate solution of hyperbolic partial differential equations …

In this study, we explore the effectiveness of elliptic partial differential equations (PDEs) in
two and three dimensional space based on Helmholtz equation for simulations of acoustic …

Vaccination strategies remain one of the most effective and feasible preventive measures in
combating infectious diseases, particularly during the COVID-19 pandemic. With the …