Coronaviruses are a large family of viruses that cause different symptoms, from mild cold to severe respiratory distress, and they can be seen in types animals such as camels, cattle, cats bats. Novel coronavirus called COVID-19 is newly emerged virus appeared many countries the world, but actual source not yet known. The outbreak has caused pandemic with 26,622,706 confirmed infections 874,708 reported deaths worldwide till August 31, 2020, 17,717,911 recovered cases. Currently, there exist...

Chemical kinetics is a branch of chemistry that investigates the rates chemical reactions and has applications in cosmology, geology, physiology. In this study, we develop mathematical model for based on enzyme dynamics kinetics, which two-step substrate–enzyme reversible reaction, applying kinetics-based modeling functions. The non-linear differential equations are transformed into fractional-order systems utilizing constant proportional Caputo–Fabrizio (CPCF) Atangana–Baleanu–Caputo...

<abstract><p>The refuge effect is critical in ecosystems for stabilizing predator-prey interactions. The purpose of this research was to investigate the complexities a discrete-time system with effect. analysis investigated presence and stability fixed points, as well period-doubling Neimark-Sacker (NS) bifurcations. bifurcating fluctuating behavior controlled via feedback hybrid control methods. In addition, numerical simulations were performed evidence back up our theoretical...

Scientists and epidemiologists have been developing vaccines immunizing people to stop the spread of COVID-19. Unfortunately, because emergence new strains persistent infections in different nations, global effort combat disease is still only partially successful. This investigation calculates epidemiological impact COVID-19 under mitigation scenarios, which include non-pharmaceutical interventions. In this work, we develop a time-fractional pandemic model using generalized Mittag-Leffler...

To study the dynamical system, it is necessary to formulate a mathematical model comprehend dynamics of diseases that are prevalent around world by using fractional calculus. A developed with hypothesis created adding control and asymptomatic variables observe rate change pine wilt ABC operator used turn into ordered for continuous monitoring. The Boundedness uniqueness investigated bounded findings Banach space, which key properties such an epidemic model. newly system examined both...

HIV is a topic that has been greatly discussed and researched due to its impact on human population. Many campaigns have put into place, people made aware of the various effects disease. This paper considers fractional-order epidemic model with inclusion prostitution in population consequences disease transmission. The describes spread system consisting susceptible males female sex workers. focus by workers through prostitution, because present world sexual transmission major cause...

The present paper studies a fractional‐order SEIR epidemic model for the transmission dynamics of infectious diseases such as HIV and HBV that spreads in host population. total population is considered bounded, Holling type‐II saturation incidence rate involved infection term. Using proposed model, threshold quantity, namely, basic reproduction number , obtained determines status disease, whether it dies out or persists whole model's analysis shows two equilibria exist, disease‐free...

In this paper, the one- and two-parameter bifurcations of a discrete-time prey–predator model with mixed functional response are investigated by computing their critical normal form coefficients. The flip, Neimark–Sacker strong resonance detected for model. coefficients identify scenario associated each bifurcation. complex dynamical behavior up to 16th iteration is investigated.

Abstract This research proposes and investigates an epidemiological model to study the dynamic behaviors of Hepatitis B virus (HBV) under immune response cytokine influence. The model's stability, positivity, boundedness, equilibria are analyzed using Lyapunov functional methods Routh–Hurwitz criterion Caputo fractional derivative. evaluates nucleoside analogues interferon treatments, determining critical drug efficiencies. Equilibria, including infection‐free endemic states, fundamental...

This emerging infectious disease poses one of the most severe threats to public health in these locations, but there are not many reliable therapies yet. In this work, we developed Ebola virus dynamics and control factors epidemic model with a piecewise hybrid fractional Operator time scale measure insight Mittag–Leffler kernel. Patterns structures that repeat at various scales focus fractal analysis, which has applications complex systems such as biological ones. Both qualitatively...

This study presents a novel two-dimensional discrete-time predator-prey model incorporating Holling-type response function on the predator. The focus lies identifying stationary points and investigating multiple bifurcations around positive fixed point, taking into account their biological significance. Notably, our analysis of at interior point unveils range generic bifurcations, including one-parameter two-parameter as well period-doubling, Neimark-Sacker, strong resonance bifurcations. We...

Calcium ions control many cellular processes by relaying signals in the form of their spatio-temporal distribution. Dynamics and patterns calcium concentration such as repetitive waves, coherent oscillations or spatially localized elevations activate diverse physiological functions. is most universal second messenger cells plays an important role initiation, sustenance termination various activities required for maintaining structure function cell. signal at fertilization necessary egg...

COVID-19 disease, a deadly pandemic ravaging virtually throughout the world today, is undoubtedly great calamity to human existence. There exists no complete curative medicine or successful vaccines that could be used for control of this at moment. Consequently, study trends critical and importance disease risk management. Computation basic reproduction number by means mathematical modeling can helpful in estimating potential severity an outbreak providing insightful information which useful...

In this article, we presented a nonlinear time-fractional mathematical model of the Ebola Virus in order to understand outbreak epidemic disease. virus is highly contagious disease that can be spread population depending upon number individuals and their dynamics community. The Caputo Atangana Baleanu fractional derivative operators are employed get solution system differential equations. qualitative analysis has been made for fractional-order model. Fixed-point theorem an iterative schemes...

In this paper, a discrete‐time seasonally forced SIR epidemic model with nonstandard discretization scheme is investigated for different types of bifurcations. Although many researchers have already suggested numerically that can exhibit chaotic dynamics, not much focus given to the bifurcation theory model. We prove analytically and existence bifurcations in First, one two parameters are by computing their critical normal form coefficients. Second, flip, Neimark–Sacker, strong resonance...