Abstract This research focuses on the design of a novel fractional model for simulating ongoing spread coronavirus (COVID-19). The is composed multiple categories named susceptible $$S(t)$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>S</mml:mi> <mml:mo>(</mml:mo> <mml:mi>t</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> , infected $$I(t)$$ <mml:mi>I</mml:mi> treated $$T(t)$$ <mml:mi>T</mml:mi> and recovered $$R(t)$$ <mml:mi>R</mml:mi> with category...

In this paper, a novel fractional-order monkeypox epidemic model is introduced, where derivatives in the sense of Caputo are applied to achieve more realistic results for proposed nonlinear model. The newly developed model, which models transmission and spread across interacting populations humans rodents, controlled by 14-dimensional system differential equations. To comply with empirical reported observations, state variables categorized into three main groups variables: population who at...

Abstract In this study, the spread of monkeypox virus is investigated through dynamical study a novel Caputo fractional order epidemic model. The interaction between human and rodent populations along with effects control signals are considered in These established optimal strategy. Furthermore, effect memory examined via varying parameters influences other also examined. positivity boundness solution verified theoretical analysis. addition, equilibrium points for system obtained both free...

In this paper, we introduce a novel model that simulates the spread of monkeypox virus. The new takes into account effect interaction between human and rodent population along with some realistic factors have not been introduced before such as imperfect vaccination nonlinear incidence rates. Moreover, is further divided low-risk high-risk groups to better reflect recent observations. To understand dynamics model, existence, uniqueness, continuous dependence on initial conditions, well its...

Lumpy skin disease is a viral that affects cattle and caused by the lumpy virus. This work devoted to presenting analyzing nonlinear dynamics of novel discrete fractional model for disease. The equilibrium points proposed are found. stability analysis carried out. influences key parameters in investigated, then regions disease-free steady state space obtained. A efficient control scheme implemented stabilize point when it unstable. fractional-order on applied explored. Finally, numerical...

This paper is devoted to the model of Lassa hemorrhagic fever (LHF) disease in pregnant women. a biocidal and epidemic. LHF women has negative impacts that were initially appeared Africa. In present study, we find an approximate solution fractional-order describes fatal disease. Laplace transforms coupled with Adomian decomposition method (ADM) are applied. addition, numerically simulated terms varied fractional order. Furthermore, order optimal control for studied.

In this research paper, we investigate the numerical solutions of nonlinear complex Layla and Majnun fractional mathematical model, which describes emotional behavior two lovers. The model is defined using Liouville-Caputo derivative. solved a spectral collocation matrix method quasilinearization with aid Schröder polynomials as basis functions. existence for investigated to ensure unique solution, stability analysis performed highlight regions ensuring stable solutions. addition,...

This article considers the usage of circulant topologies as a promising deadlock-free topology for networks-on-chip (NoCs). A new high-level model, Newxim, exploration NoCs with any is presented. Two methods solving problem cyclic dependencies in topologies, which limit their applications due to increased possibility deadlocks, are proposed. The first method dealing deadlocks universal and applicable topology; it based on idea bypassing blocked sections network an acyclic subnetwork. second...

In this study, we generalize the Lotka-Volterra (LV) model. Our generalization is done via two simultaneous techniques. The first technique by incorporating a general term to model immigrations predator or prey populace. second utilize Caputo fractional derivative. This study different five cases. We show impact of changing order proposed response. display that including generalized immigration populace produces stabilization LV in context derivatives all executed addition, present graph and...

Integral transformations are essential for solving complex problems in business, engineering, natural sciences, computers, optical science, and modern mathematics. In this paper, we apply a general integral transform, called the Jafari system of ordinary differential equations. After applying equations converted to simple algebraic that can be solved easily. Then, by using inverse operator solve main transform belongs class Laplace is considered generalization transforms such as Laplace,...

This paper presents the computational solutions of a time-dependent nonlinear system partial differential equations (PDEs) known as Lotka-Volterra competition with diffusion. We propose combined semi-discretized spectral matrix collocation algorithm to solve this PDEs. The first part deals time-marching procedure, which is performed using well-known Taylor series formula. resulting linear systems ordinary (ODEs) are then solved technique based on novel Touchard family polynomials. discuss...

This work investigates the transmission dynamics of a proposed fractional-order cotton leaf curl virus (CLCuV) model considering effects climate change. High temperatures resulting from change and global warming significantly impact crop CLCuV transmission, causing substantial economic losses for farmers agricultural industries. The study aims to address these impacts contribute Sustainable Development Goals (SDGs) by promoting well-being healthy lives. characteristics model's solution are...

Toxoplasmosis is a significant zoonotic disease that poses risks to public health and animal health, making the understanding of its transmission dynamics crucial. In this study, we present novel fractional-order model captures complex interactions among human, cat, mouse populations, providing deeper insights into spread control. We utilize mathematical techniques analyze properties, including existence, uniqueness, positivity, boundedness solutions, along with stability analysis...

Many structural models in chemistry, biology, computer science, sociology, and operations research can be analyzed using graph theory. Some examples of these structure are species movement between regions, molecular bonds, shortest spanning trees, development algorithms. This paper introduces the edge decomposition circulant graphs with 2n vertices by different classes. These denoted as C2n,n, where n is degree C2n,n. We propose two algorithmic approaches for constructing With aid proposed...

&lt;abstract&gt; &lt;p&gt;Security of personal information has become a major concern due to the increasing use Internet by individuals in digital world. The main purpose here is prevent an unauthorized person from gaining access confidential information. solution such problem authentication users. Authentication very important role achieving security. Mutually orthogonal graph squares (MOGS) are considered generalization mutually Latin (MOLS). Also, MOGS generated edge decompositions...

Graph theory is a powerful and essential tool for applied scientists engineers in analyzing designing algorithms several problems. has vital role complex systems, especially computer sciences. Applications of graph can be found many scientific disciplines such as operational research, engineering, life sciences, management coding, science. In the literature, there are two constructing decompositions circulant graphs C2r,r with 2r vertices r degree. For r,m⩾2, circulant-balanced complete...

In this paper, DSEK model with fractional derivatives of the Atangana‐Baleanu Caputo (ABC) is proposed. This paper gives a brief overview ABC derivative and its attributes. Fixed point theory has been used to establish uniqueness existence solutions for model. According theory, we will define two operators based on Lipschitzian prove that they are contraction mapping relatively compact. Ulam‐Hyers stability theorem implemented model’s in Banach space. Also, Euler’s numerical method derived...