Abstract
In biology, Difference equations is often used to understand and describe life phenomenon through mathematical models. So, In this work, we study a new class of difference equations by focusing on the periodicity character, stability (local and global) and boundedness of its solutions. Furthermore, this equation involves a May’s Host Parasitoid Model, as a special case.
Highlights
The goal of our paper is to research the dynamics of solutions of equation Jn+1 = α +
Difference equations are used in situations of real life, in various sciences
Our focus in this paper is on the study of qualitative behavior of solutions of the nonlinear difference equations
Summary
The goal of our paper is to research the dynamics of solutions of equation Jn+1 = α +. Difference equations are used in situations of real life, in various sciences (population models, genetics, psychology, economics, sociology, stochastic time series, combinatorial analysis, queuing problems, number theory, geometry, radiation quanta and electrical networks). Among the well-known examples, the family Jn+1 = yλ ( Jn ), λ > 0, depends on η, and its conduct changes from a bounded number of periodic solutions to chaos. Our focus in this paper is on the study of qualitative behavior of solutions of the nonlinear difference equations. A new equation includes a May’s Host Parasitoid Model, as a special case. Show that every positive solution of May’s Host Parasitoid Model (Equation (1).
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
