Janreung, Sutawas Chinviriyasit, Wirawan Chinviriyasit, Settapat
Published in
Advances in Difference Equations
Dengue fever is a common disease which can cause shock, internal bleeding, and death in patients if a second infection is involved. In this paper, a multi-serotype dengue model with nonlinear incidence rate is formulated to study the transmission of two dengue serotypes. The dynamical behaviors of the proposed model depend on the threshold value R0...
Prathumwan, Din Trachoo, Kamonchat
Published in
Advances in Difference Equations
The purpose of this paper was to investigate the dynamics of the option pricing in the market through the two-dimensional time fractional-order Black–Scholes equation for a European put option. The Liouville–Caputo derivative was used to improve the ordinary Black–Scholes equation. The analytic solution is a powerful tool for describing the behavio...
Wang, Jianjie Pu, Jun Zama, Ahmed
Published in
Advances in Difference Equations
The Editors-in-Chief have retracted this article [1] because it significantly overlaps with an article by different authors [2] that was simultaneously under consideration at a different journal. The article also shows evidence of authorship manipulation and peer review manipulation. In addition, the identity of the third author could not be verifi...
Zhang, Zizhen Yang, Fangfang Xia, Wanjun
Published in
Advances in Difference Equations
A synthetic drug transmission model with psychological addicts and time delay is proposed in this paper. By analyzing the corresponding characteristic equation and choosing the time delay as the bifurcation parameter, a set of sufficient criteria guaranteeing local stability of the synthetic drug addiction equilibrium and the appearance of a Hopf b...
Zhou, Hui Alzabut, Jehad Rezapour, Shahram Samei, Mohammad Esmael
Published in
Advances in Difference Equations
In this paper, a nonlinear nonautonomous model in a rocky intertidal community is studied. The model is composed of two species in a rocky intertidal community and describes a patch occupancy with global dispersal of propagules and occupy each other by individual organisms. Firstly, we study the uniform persistence of the model via differential ine...
Tian, Yazhou Fan, Min
Published in
Advances in Difference Equations
New nonlinear integral inequalities (NII) are presented in this paper. Based on mathematical analysis technique, several estimation results are obtained, which not only complement the aforementioned results, but also generalize the inequalities to the more general nonlinearities. As an application, they can be employed to estimate the bound on the ...
Tahernezhad, Taherh Jalilian, Reza
Published in
Advances in Difference Equations
In this paper, we introduce a new scheme based on the exponential spline function for solving linear second-order Fredholm integro-differential equations. Our approach consists of reducing the problem to a set of linear equations. We prove the convergence analysis of the method applied to the solution of integro-differential equations. The method i...
Ali, Arshad Shah, Kamal Abdeljawad, Thabet
Published in
Advances in Difference Equations
This research work is related to studying a class of special type delay implicit fractional order differential equations under anti-periodic boundary conditions. With the help of classical fixed point theory due to Schauder and Banach, we derive some results about the existence of at least one solution. Further, we also study some results including...
Afshari, Hojjat Baleanu, Dumitru
Published in
Advances in Difference Equations
Using some fixed point theorems for contractive mappings, including α-γ-Geraghty type contraction, α-type F-contraction, and some other contractions in F\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddside...
Zhao, Dafang Ali, Muhammad Aamir Kashuri, Artion Budak, Hüseyin
Published in
Advances in Difference Equations
In this paper, we establish inequalities of Hermite–Hadamard type for harmonically convex functions using a generalized fractional integral. The results of our paper are an extension of previously obtained results (İşcan in Hacet. J. Math. Stat. 43(6):935–942, 2014 and İşcan and Wu in Appl. Math. Comput. 238:237–244, 2014). We also discuss some spe...
