The present paper describes the mathematical modeling and dynamics of a novel corona virus (2019-nCoV). We describe brief details interaction among bats unknown hosts, then peoples infections reservoir (seafood market). seafood marked are considered main source infection when hosts (may be wild animals) leaves there. purchasing items from market by have ability to infect either asymptomatically or symptomatically. reduced model with assumptions that has enough can effective people. results...

Abstract In the present paper, we formulate a new mathematical model for dynamics of COVID-19 with quarantine and isolation. Initially, provide brief discussion on formulation relevant results. Then, consider fractal-fractional derivative in Atangana–Baleanu sense, also generalize model. The generalized is used to obtain its stability We show that locally asymptotically stable if $\mathcal{R}_{0}&lt;1$ <mml:math...

We are considering a new COVID-19 model with an optimal control analysis when vaccination is present. Firstly, we formulate the vaccine-free and present associated mathematical results involved. Stability for R0<1 shown. In addition, frame class. look at details of vaccine model. Additionally, setting controls to minimize infection spread control. consider four different controls, such as prevention, control, rapid screening people in exposed category, who identified infected without...

The present effort elaborates the fractional analyses for Darcy-Forchheimer hybrid nanoliquid flow over a porous spinning disk. Temperature and concentration slip conditions are utilized at surface of A specific type nanoparticles known as Silver-Ag Magnesium-oxide MgO is added to base fluid, synthesis nanoliquid. By using Karman's approach, system partial differential equations depleted into dimensionless equations. obtained further diminished first-order equation via selecting variables....

A virus that causes hepatitis E is known as (HEV) and regarded on of the reason for lever inflammation. In mathematical aspects a very low attention has been paid to HEV dynamics. Therefore, present work explores dynamics in fractional derivative. The Caputo–Fabriizo derivative used study HEV. First, essential properties model will be presented then describe with CF Application fixed point theory obtain existence uniqueness results associated model. By using Adams–Bashfirth numerical scheme...

In the present paper, we study dynamics of tuberculosis model using fractional order derivative in Caputo-Fabrizio sense. The number confirmed notified cases reported by national TB program Khyber Pakhtunkhwa, Pakistan, from year 2002 to 2017 are used for our analysis and estimation biological parameters. threshold quantity $ \mathcal{R}_0 equilibria determined. We prove existence solution via fixed-point theory further examine uniqueness variables. An iterative is computed Adams-Bashforth...

In recent years the world has witnessed arrival of deadly infectious diseases that have taken many lives across globe. To fight back these or control their spread, mankind relies on modeling and medicine to control, cure, predict behavior such problems. case Ebola, we observe spread follows a fading memory process also shows crossover behavior. Therefore, capture this kind one needs use differential operators posses properties memory. We analyze Ebola disease model by considering three...

Summary Hepatitis B infection is a serious health issue and causes many deaths around the world. The aim of this paper to develop mathematical model with hospitalized population explore dynamics infection. Initially, we study without control carried out all basic properties results including local global stability. After that, suitable optimal strategies necessary optimality conditions using well known Pontryagin's maximum principle minimize spread hepatitis in community. Finally, present...

The new emerged infectious disease that is known the coronavirus (COVID-19), which a high contagious viral infection started in December 2019 China city Wuhan and spread very fast to rest of world. This caused million infected cases globally still pose an alarming situation for human lives. Pakistan Asian countries considered third country with higher number more than 200,000. Recently, many mathematical models have been better understand infection. Most these are based on classical...

The novel coronavirus disease or COVID-19 is still posing an alarming situation around the globe. whole world facing second wave of this pandemic. Recently, researchers are focused to study complex dynamics and possible control global infection. Mathematical modeling a useful tool gains much interest in regard. In paper, fractional-order transmission model considered its dynamical behavior using real cases reported Saudia Arabia. classical Caputo type derivative fractional order used...

A three dimensional (3D) numerical solution of unsteady, Ag-MgO hybrid nanoliquid flow with heat and mass transmission caused by upward/downward moving wavy spinning disk has been scrutinized. The magnetic field also considered. synthesized in the presence nanoparticles. purpose study is to improve rate thermal energy for several industrial purposes. rotating surface increases up 15%, comparatively flat surface. subsequent arrangement modeled equations diminished into dimensionless...

The fluid flow over a rotating disk is critically important due to its application in broad spectrum of industries and engineering scientific fields. In this article, the traditional swirling Von Karman optimized for Maxwell porous spinning disc with consistent suction/injection effect. Buongiorno’s model, which incorporates effect both thermophoresis Brownian motion, describes nanofluid nature. dimensionless system ordinary differential equations (ODEs) has been diminished from modeled...

Recently, intelligent control techniques have received considerable attention. In most studies, the systems’ model is assumed to be without any delay, and effects of faults failure in actuators are ignored. However, real practice, sensor malfunctioning, mounting limitation, defects bring about faults, failure, disturbances. Consequently, applying controllers that do not consider these problems could significantly deteriorate controllers’ performance. order address this issue, current paper,...

Abstract The silver, magnesium oxide and gyrotactic microorganism-based hybrid nanofluid flow inside the conical space between disc cone is addressed in perspective of thermal energy stabilization. Different cases have been discussed spinning same or counter wise directions. has synthesized presence silver Ag MgO nanoparticulate. viscous dissipation magnetic field factors are introduced to modeled equations. parametric continuation method (PCM) utilized numerically handle problem. Magnesium...