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Ammara Nosheen

Other affiliations: University of Sargodha
Bio: Ammara Nosheen is an academic researcher from University of Lahore. The author has contributed to research in topics: Mathematics & Convex function. The author has an hindex of 5, co-authored 30 publications receiving 109 citations. Previous affiliations of Ammara Nosheen include University of Sargodha.

Papers published on a yearly basis

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Journal ArticleDOI
TL;DR: In this paper, the authors extend some Hardy-type inequalities with certain kernels to arbitrary time scales and deduce some new integral and discrete inequalities in seek of applications, which they apply to a variety of applications.
Abstract: In this paper, we extend some Hardy-type inequalities with certain kernels to arbitrary time scales. Certain classical and some new integral and discrete inequalities are deduced in seek of applications.

23 citations

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TL;DR: In this paper, the boundedness character and persistence, existence and uniqueness of positive equilibrium, local and global behavior, and rate of convergence of positive solutions of the following system of exponential difference equations:,, where the parameters, and for and initial conditions, and are positive real numbers
Abstract: We study the boundedness character and persistence, existence and uniqueness of positive equilibrium, local and global behavior, and rate of convergence of positive solutions of the following system of exponential difference equations: , , where the parameters , and for and initial conditions , and are positive real numbers Furthermore, by constructing a discrete Lyapunov function, we obtain the global asymptotic stability of the positive equilibrium Some numerical examples are given to verify our theoretical results

21 citations

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TL;DR: In this paper, Opial-type inequalities for arbitrary kernels using convex functions are applied to a power function, and applications of the presented results are studied in fractional calculus via fractional integral operators by associating special kernels.
Abstract: This paper is dedicated to Opial-type inequalities for arbitrary kernels using convex functions. These inequalities are further applied to a power function. Applications of the presented results are studied in fractional calculus via fractional integral operators by associating special kernels.

11 citations

01 Jan 2015
TL;DR: In this article, the authors summarized very recent research related to Jensen-type inequalities on time scales and proved many of the present results via the theory of isotonic linear functionals, combining three areas of classical and active current research.
Abstract: This book summarizes very recent research related to Jensen-type inequalities on time scales. Many of the present results are proved via the theory of isotonic linear functionals. The book combines three areas of classical and active current research: classical inequalities in analysis, dynamic equations on time scales and isotonic linear functionals.

10 citations

Journal ArticleDOI
TL;DR: In this paper, Jensen's inequality for diamond integrals on time scales and generalization of this inequality for 2n-convex functions via Lidstone's polynomials bounds for Chebyshev functional, Gruss-type inequality and Ostrowaski type inequality related to Jensen's type functional were proved.
Abstract: In this paper, we prove Jensen’s inequality for diamond integrals on time scales and generalize this inequality for 2n-convex functions via Lidstone’s polynomials Bounds for Chebyshev functional, Gruss-type inequality and Ostrowaski-type inequality related to Jensen’s type functional are also given in the paper Moreover, our results are valid if we replace diamond integrals with delta integrals, nabla integrals or α-diamond integrals on time scales as well (being special cases)

10 citations


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01 Jan 2016

219 citations

Journal ArticleDOI
TL;DR: This work investigates the complex behavior and chaos control in a discrete-time prey-predator model with predator partially dependent on prey and investigates the boundedness, existence and uniqueness of positive equilibrium and bifurcation analysis of the system by using center manifold theorem and b ifurcation theory.

123 citations

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TL;DR: In this paper, a modified discrete-time host-parasitoid model is considered by introducing Pennycuick growth function for the host population and the existence and uniqueness of positive equilibrium point of proposed system is investigated.
Abstract: Abstract We study some qualitative behaviour of a modified discrete-time host–parasitoid model. Modification of classical Nicholson–Bailey model is considered by introducing Pennycuick growth function for the host population. Furthermore, the existence and uniqueness of positive equilibrium point of proposed system is investigated. We prove that the positive solutions of modified system are uniformly bounded and the unique positive equilibrium point is locally asymptotically stable under certain parametric conditions. Moreover, it is also investigated that system undergoes Neimark–Sacker bifurcation by using standard mathematical techniques of bifurcation theory. Complexity and chaotic behaviour are confirmed through the plots of maximum Lyapunov exponents. In order to stabilise the unstable steady state, the feedback control strategy is introduced. Finally, in order to support theoretical discussions, numerical simulations are provided.

33 citations

Journal ArticleDOI
TL;DR: In this paper, an analysis of the local asymptotic stability and global behavior of the unique positive equilibrium point of the following discrete-time plant-herbivore model is presented.
Abstract: The present work deals with an analysis of the local asymptotic stability and global behavior of the unique positive equilibrium point of the following discrete-time plant-herbivore model: $x_{n+1}=\frac{\alpha x_{n}}{\beta x_{n}+e^{y_{n}}}$ , $y_{n+1}=\gamma(x_{n}+1)y_{n}$ , where $\alpha\in\mathbb{(}1,\infty)$ , $\beta\in\mathbb{(}0,\infty)$ , and $\gamma\in\mathbb{(}0,1)$ with $\alpha+\beta>1+\frac{\beta}{\gamma}$ and initial conditions $x_{0}$ , $y_{0}$ are positive real numbers. Moreover, the rate of convergence of positive solutions that converge to the unique positive equilibrium point of this model is also discussed. In particular, our results solve an open problem and a conjecture proposed by Kulenovic and Ladas in their monograph (Dynamics of Second Order Rational Difference Equations: With Open Problems and Conjectures, 2002). Some numerical examples are given to verify our theoretical results.

28 citations