Advisor

Qian, Chuanxi

Committee Member

Dang, Dinh

Committee Member

Razzaghi, Mohsen

Committee Member

Smith, Robert

Committee Member

Yarahmadian, Shantia

Date of Degree

5-1-2020

Document Type

Dissertation - Open Access

Major

Mathematical Sciences

Degree Name

Doctor of Philosophy

College

College of Arts and Sciences

Department

Department of Mathematics and Statistics

Abstract

Difference equations arise in many fields of mathematics, both as discrete analogs of continuous behavior (analysis, numerical approximations) and as independent models for discrete behavior (population dynamics, economics, biology, ecology, etc.). In recent years, many models - especially in mathematical biology - are based on higher order nonlinear difference equations. As a result, there has been much focus on the existence of periodic solutions of certain classes of these equations and the asymptotic behavior of these periodic solutions. In this dissertation, we study the existence and global attractivity of both periodic and quasiperiodic solutions of two different higher order nonlinear difference equations. Both equations arise in biological applications.

URI

https://hdl.handle.net/11668/16684

Comments

Difference Equation||Global Attractivity||Periodic||Quasiperiodic||Forcing Term

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