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...

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...

This research explores bifurcation of a nonlinear model concerning with the telecommunication strait. Possible all phase plane diagrams due to various parametric conditions are found. Derivation analytical tangled wave propagating solutions following orbits corresponding portraits established. As results, soliton, shock wave, singular periodic and obtained by direct integration from Hamiltonian energy function. The formulated in form generalized Jacobi elliptic functions, which also provide...

This article reflects on the Klein–Gordon model, which frequently arises in fields of solid-state physics and quantum field theories. We analytically delve into solitons composite rogue-type wave propagation solutions model via generalized Kudryashov extended Sinh Gordon expansion approaches. obtain a class exact forms exponential hyperbolic functions involving some arbitrary parameters with help Maple, included comparing symmetric non-symmetric other methods. After analyzing dynamical...

This article explores on a stochastic couple models of ion sound as well Langmuir surges propagation involving multiplicative noises. We concentrate the analytical solutions including travelling and solitary waves by using planner dynamical systematic approach. To apply method, First effort is to convert system equations into ordinary differential form present it in dynamic structure. Next analyze nature critical points obtain phase portraits various conditions corresponding parameters. The...

This study presents a modification form of modified simple equation method, namely new method. Multiple waves and interaction soliton solutions the Phi-4 Klein-Gordon models are investigated via scheme. Consequently, we derive various novels more general interaction, multiple wave in term exponential, hyperbolic, trigonometric, rational function combining with some free parameters. Taking special values parameters, two dark bells, bright kinks, periodic waves, kink soliton, kink-rogue...

Abstract In this work, the exact solutions of (2+1)-dimensional generalized Hirota–Satsuma–Ito equation are reported by adopting He’s variational direct technique (HVDT). The analytic findings were obtained semi-inverse scheme, and six form supposed studies reveal that belong to soliton groups. modulation instability is considered. <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi>tan</m:mi> <m:mrow> <m:mo>(</m:mo> <m:mi mathvariant="normal">Π</m:mi> <m:mi>ξ</m:mi> </m:mrow>...

In this study, we build multi-wave solutions of the KdV-5 model through Hirota’s bilinear method. Taking complex conjugate values free parameters, various colliding exact in form rogue wave, symmetric bell soliton and waves form; breather waves, interaction a two wave are constructed. To explore characteristics localized any direction, higher-order model, which describes promulgation weakly nonlinear elongated narrow channel, ion-acoustic, acoustic emission harmonic crystals symmetrically is...

In this paper, the Gilson–Pickering (GP) equation with applications for wave propagation in plasma physics and crystal lattice theory is studied. The model explained. A collection of evolution equations from model, containing Fornberg–Whitham, Rosenau–Hyman, Fuchssteiner–Fokas–Camassa–Holm developed. descriptions new waves, theory, by applying standard tan(ϕ/2)-expansion technique are investigated. Many alternative responses employing various formulae achieved; each these solutions...

In this study, we evaluated the fracture resistance of three commercially available prefabricated primary zirconia crowns and their correlation with dimensional variance.a total 42 were selected from companies, (1) NuSmile crowns, (2) Cheng Crowns zirconia, (3) Sprig EZ crowns. The divided into two groups based on location in oral cavity further subgroups brand. All samples subjected to tests using a universal testing machine.the mean load observed was highest anterior (1355 ± 484) least...

The present study aims to design a mathematical system based on the Lane–Emden third-order pantograph differential model by using general forms of as well models. designed is divided into two types along with various singularity details at each point. shape factors and points are discussed for type newly nonlinear model. Bernoulli collocation scheme implemented find numerical results novel To show reliability model, four different variants have been solved. Moreover, comparison obtained...

Abstract In this article, the (2+1)-dimensional KdV equation by Hirota’s bilinear scheme is studied. Besides, binary bell polynomials and then form created. addition, an interaction lump with <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi>k</m:mi> </m:math> k -soliton solutions of addressed system known coefficients presented. With assistance stated methodology, a cloaked analytical solution discovered in expressions lump-soliton rational functions few lovable parameters....

In this paper, we introduce a generalized complex discrete fractional-order cosine map. Dynamical analysis of the proposed fractional order map is examined. The existence and stability characteristics map’s fixed points are explored. fractal Mandelbrot sets Julia sets, as well their properties, examined in detail. Several detailed simulations illustrate effects parameter, values constant exponent. addition, domain controllers constructed to control produced by or achieve synchronization two...

This work is devoted to explore the dynamics of proposed discrete fractional-order prey–predator model. The model generalization conventional its corresponding counterpart. fixed points are first found and their stability analyses carried out. Then, nonlinear dynamical behaviors model, including quasi-periodicity chaotic behaviors, investigated. influences fractional order different parameters in examined using several techniques such as Lyapunov exponents, bifurcation diagrams, phase...

In this paper, we introduce a new implicit function without any continuity requirement and utilize the same to prove unified relation-theoretic fixed point results. We adopt some examples exhibit utility of our function. Furthermore, use results derive multidimensional Finally, as applications results, study existence uniqueness solution for first-order ordinary differential equations.

&lt;abstract&gt; &lt;p&gt;This paper formulates and analyzes a modified Previte-Hoffman food web with mixed functional responses. We investigate the existence, uniqueness, positivity boundedness of proposed model's solutions. The asymptotic local global stability steady states are discussed. Analytical study model reveals that it can undergo supercritical Hopf bifurcation. Furthermore, analysis Turing instability in spatiotemporal version is carried out where regions pattern creation...

This work is devoted to present temporal-only and spatio-temporal COVID-19 epidemic models when virus mutations vaccination influences are considered.Firstly, the proposed non-diffusive model introduced.The nonlinear incidence rate employed better strict measures forced by governmental authorities control pandemic spread.The immunity acquired vaccinations assumed be incomplete for realistic considerations.The existence, uniqueness continuous dependence on initial conditions studied...

In this paper, inspired by Jleli and Samet (Journal of Inequalities Applications 38 (2014) 1–8), we introduce two new classes auxiliary functions utilize the same to define ( θ , ψ ) R -weak contractions. Utilizing contractions, prove some fixed point theorems in setting relational metric spaces. We employ examples substantiate utility our newly proven results. Finally, apply one results ensure existence uniqueness solution a Volterra-type integral equation.

Reaction-diffusion systems with cross-diffusion terms in addition to, or instead of, the usual self-diffusion demonstrate interesting features which motivate their further study. The present work is aimed at designing a toy reaction-cross-diffusion model exact solutions form of propagating fronts. We propose minimal this kind involves two species linked by cross-diffusion, one governed linear equation and other having polynomial kinetic term. classify resulting front solutions. Some them...

Reaction-diffusion systems with cross-diffusion terms in addition to, or instead of, the usual self-diffusion demonstrate interesting features which motivate their further study. The present work is aimed at designing a toy reaction-cross-diffusion model exact solutions form of propagating fronts. We propose minimal this kind involves two species linked by cross-diffusion, one governed linear equation and other having polynomial kinetic term. classify resulting front solutions. Some them...