de Assis, R. A. Pazim, R. Malavazi, M. C. Petry, P. P. da C. de Assis, L. M. E. Venturino, E.
Published in
Applied Mathematics and Nonlinear Sciences

A model for predator-prey interactions with herd behaviour is proposed. Novelty includes a smooth transition from individual behaviour (low number of prey) to herd behaviour (large number of prey). The model is analysed using standard stability and bifurcations techniques. We prove that the system undergoes a Hopf bifurcation as we vary the paramet...

Xie, Ting Liu, Ruihua Wei, Zhengyuan
Published in
Applied Mathematics and Nonlinear Sciences

Clustering as a fundamental unsupervised learning is considered an important method of data analysis, and K-means is demonstrably the most popular clustering algorithm. In this paper, we consider clustering on feature space to solve the low efficiency caused in the Big Data clustering by K-means. Different from the traditional methods, the algorith...

Sow, T.M.M.
Published in
Applied Mathematics and Nonlinear Sciences

In this paper, we suggest and analyze a new iterative method for finding a common element of the set of fixed points of a quasi-nonexpansive mapping and the set of fixed points of a demicontractive mapping which is the unique solution of some variational inequality problems involving accretive operators in a Banach space. We prove the strong conver...

Acar, Ecem İzgi, Aydın Serenbay, Sevilay Kirci
Published in
Applied Mathematics and Nonlinear Sciences

In the present article, a modification of Jakimovski-Leviatan operators is presented which reproduce constant and e–x functions. We prove uniform convergence order of a quantitative estimate for the modified operators. We also give a quantitative Voronovskya type theorem.

Belgaid, Youcef Helal, Mohamed Venturino, Ezio
Published in
Applied Mathematics and Nonlinear Sciences

A B-cell chronic lymphocytic leukemia has been modeled via a highly nonlinear system of ordinary differential equations. We consider the rather important theoretical question of the equilibria existence. Under suitable assumptions all model populations are shown to coexist.

Sulaiman, Tukur Abdulkadir Bulut, Hasan Atas, Sibel Sehriban
Published in
Applied Mathematics and Nonlinear Sciences

This study reaches the dark, bright, mixed dark-bright, and singular optical solitons to the fractional Schrödinger-Hirota equation with a truncated M-fractional derivative via the extended sinh-Gordon equation expansion method. Dark soliton describes the solitary waves with lower intensity than the background, bright soliton describes the solitary...

Krishna, G. Gopi Sreenadh, S. Srinivas, A.N.S.
Published in
Applied Mathematics and Nonlinear Sciences

The present study examines the entropy generation on Couette flow of a viscous fluid in parallel plates filled with deformable porous medium. The fluid is injected into the porous channel perpendicular to the lower wall with a constant velocity and is sucked out of the upper wall with same velocity .The coupled phenomenon of the fluid flow and soli...

Kurt, Ali Şenol, Mehmet Tasbozan, Orkun Chand, Mehar
Published in
Applied Mathematics and Nonlinear Sciences

In this article, we attain new analytical solution sets for nonlinear time-fractional coupled Burgers’ equations which arise in polydispersive sedimentation in shallow water waves using exp-function method. Then we apply a semi-analytical method namely perturbation-iteration algorithm (PIA) to obtain some approximate solutions. These results are co...

Sulaiman, Tukur Abdulkadir Bulut, Hasan
Published in
Applied Mathematics and Nonlinear Sciences

This work proposes the new extended rational sinh-Gordon equation expansion technique (SGEEM). The computational approach is formulated based on the well-known sinh-Gordon equation. The proposed technique generalizes the sine-Gordon/sinh-Gordon expansion methods in a rational format. The efficiency of the suggested technique is tested on the (2+1)i...

Hosamani, S. M. Awati, V. B. Honmore, R. M.
Published in
Applied Mathematics and Nonlinear Sciences

Graph energy and domination in graphs are most studied areas of graph theory. In this paper we try to connect these two areas of graph theory by introducing c-dominating energy of a graph G. First, we show the chemical applications of c-dominating energy with the help of well known statistical tools. Next, we obtain mathematical properties of c-dom...