In this paper, we propose a SIR epidemic model incorporating Laplacian diffusion and the spatiotemporal delay to transmission of communicable diseases. The existence nonexistence traveling wave solutions for are investigated. It is found that threshold dynamics determined by basic reproduction number minimum speed c ∗ . By introducing an auxiliary system Schauder's fixed point theorem, establish if > Employing Fubini theorem two‐sided Laplace transform, obtain or 0 < Our results cover...

Abstract In this paper, we explore the exact solutions to fourth-order extended (2+1)-dimensional Boiti–Leon–Manna–Pempinelli equation. Based on Hirota bilinear method, lump solution, periodic cross-kink and bright-dark soliton were investigated. By calculating solving, peak trough of solution are obtained, maximum minimum points each solved. The three-dimensional plots density drawn dynamics under different parameters observed.

Abstract This study investigates a generalized derivative nonlinear Schrödinger (GDNLS) equation , demonstrating how ultrashort pulses propagate in single-mode optical fiber. The extended F-expansion method, which is modification of Kudryashov’s auxiliary approach, applied this investigation to generate Jacobi elliptic solutions for the GDNLS. Three distinct solution instances are examined, and variety explicit solutions, including breathers, solitary waves, bright/dark solitons, bright-dark...

Abstract Background Micronucleus (MN) is an abnormal fragment in a human cell caused by disorders the mechanism regulating chromosome segregation. It can be used as biomarker for genotoxicity, tumor risk, and malignancy. The vitro micronucleus assay commonly method to detect micronucleus. However, it time-consuming visual scoring inconsistent. Methods To alleviate this issue, we proposed computer-aided diagnosis combining convolutional neural networks attention recognition. backbone of our...

Abstract In this paper, the KdV-Sawada-Kotera-Ramani(KdVSKR) equation in various dimensions are studied. The bilinear form of (1+1)-dimensional and (2+1)-dimensional KdVSKR obtained by independent transformation. Based on Hirota method, we constructed new interaction solutions studying unknown nonlinear differential equations for corresponding parameters. Three dimensional plots, density plots contour provide us with a better understanding visualizing dynamic behavior solutions.

For the co-saliency detection algorithm of an RGBD image that may have incomplete common salient regions and unclear boundaries, we proposed improved method images based on superpixels hypergraphs. First, optimized depth map edge consistency, introduced into SLIC to obtain better superpixel segmentation results images. Second, color features, features global spatial were extracted construct a weighted hypergraph model generate saliency maps. Finally, constructed for relationship among In...

A (3 + 1) dimensional Kudryashov–Sinelshchikov equation is investigated in this paper, which describes bubbles the liquid fluctuations. By virtue of binary Bell polynomials, bilinear representation, Bäcklund transformation with associated Lax pair are obtained, respectively. Moreover, utilizing Hirota’s four new lump solutions constructed and interaction phenomenon between periodic solution thoroughly examined. The work also illustrates intriguing dynamical behavior aid Maple software,...

In this paper, we investigate a numerical method for the generalized Novikov equation. We propose conservative finite difference scheme and use Brouwer fixed point theorem to obtain existence of solution corresponding also prove convergence stability by using discrete energy method. Moreover, truncation error which is .

A self-healing ring (SHR) is one of the most intriguing schemes that provide survivability for telecommunication networks. The suitability genetic algorithms (GA) solving an optimization problem in capacity design ATM SHRs studied capability global CA utilized to achieve objects balancing loads on rings and minimizing requirement rings. NP-complete when demand splitting not allowed. Mathematical models with or without are built. Computational results show proposed algorithm has better...

The evolution process of four class soliton solutions is investigated by basic calculus theory. For any given <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>x</mml:mi></mml:mrow></mml:math>, we describe the special curvature following time id="M2"><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:math> for curve solution and also study fluctuation curve.

<p style='text-indent:20px;'>This paper is concerned with blow-up solution for the Cauchy problem of two-component Camassa-Holm equation generalized weak dissipation. By Kato's theorem and monotonicity, we investigate local well-posedness establish criteria rate. Moreover, property points set characterized.