Dr. Ziyad AlSharawi

The principle of competitive exclusion states that when the competition between species is sufficiently strong, only the dominant species survives. In this paper, we examine the strategies of using stocking and harvesting to prevent the extinction of the weak species in a competitive exclusion environment. We find that in a system governed by the Leslie/Gower model careful stocking will ensure the coexistence between all species. We also find that constant harvesting of the dominant species may guarantee the survival of the weaker species when the parameters of the model are in a certain range. Mixed strategies and conditional harvesting strategies are also discussed.

3 March 2020 in Journal of Difference Equations and Applications

Journal Article

A discrete-time model with non-monotonic functional response and strong Allee effect in prey

In this paper, we investigate the impact of strong Allee effect on the stability of a discrete-time predator–prey model with a non-monotonic functional response. The dynamics of discrete-time predator–prey models with strong Allee effect is studied earlier. But, the mathematical investigations of predator–prey dynamics in discrete-time set up with Holling type-IV functional response and strong Allee effect in prey are lacking. The proposed model supports the coexistence of two steady states, and the mathematical features of the model are analyzed based on local stability and bifurcation theory. By considering the Allee parameter as the bifurcation parameter, we provide sufficient conditions for the flip and the Neimark–Sacker bifurcations. We observe that Allee parameter plays a significant role in the dynamics of the system.

18 August 2009 in Journal of Biological Dynamics

Journal Article

The Beverton–Holt model with periodic and conditional harvesting

Ziyad AlSharawi

Mohamed B.H. Rhouma

In this theoretical study, we investigate the effect of different harvesting strategies on the discrete Beverton–Holt model in a deterministic environment. In particular, we make a comparison between the constant, periodic and conditional harvesting strategies. We find that for large initial populations, constant harvest is more beneficial to both the population and the maximum sustainable yield. However, periodic harvest has a short-term advantage when the initial population is low, and conditional harvest has the advantage of lowering the risk of depletion or extinction. Also, we investigate the periodic character under each strategy and show that periodic harvesting drives population cycles to be multiples (period-wise) of the harvesting period.

1 January 2022 in Discrete and Continuous Dynamical Systems-Series B

Journal Article

The role of vigilance on a discrete-time predator-prey model

Ziyad AlSharawi

Nikhil Pal

Joydev Chattopadhyay

The change of behaviors of prey in the form of vigilance significantly affects the dynamics of a predator-prey system. In this paper, we consider a discrete-time predator-prey model, where the vigilance of prey acts as a trade-off between the safety and growth rate of the prey. Mathematical properties such as stability, permanence, both flip and Neimark-Sacker bifurcations of the model are investigated. Numerical simulations are carried out to illustrate the analytical findings and to explore the impact of prey vigilance on the dynamics of the system.

1 September 2006 in Applied Mathematics and Computation

Journal Article

On the periodic logistic equation

Ziyad AlSharawi

James Angelos

About Me

Ziyad AlSharawi is a professor of mathematics at the American University of Sharjah, UAE (https://www.aus.edu/faculty/ziyad-sharawi). He holds a Ph.D. in Mathematics from Central Michigan University, USA, and has extensive experience in discrete dynamical systems. His research interests encompass difference equations, stability theory, population models and mathematical biology, and nonlinear dynamical systems. In addition to his contributions to periodic systems and cycles in periodic one-dimensional maps, he has developed and analyzed stability techniques for discrete dynamical systems and has published research articles in several international peer-reviewed journals. He has served as a referee for several mathematical journals and has helped organize and attend international conferences. He is a member of the International Society of Difference Equations (ISDE) and focuses his current research on local and global stability techniques.

Dr. Ziyad AlSharawi

Dr. Ziyad AlSharawi

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