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- Ziyad Alsharawi, James Angelos
- Applied Mathematics and Computation
- 2006

We show that the p-periodic logistic equation x n+1 = µ n mod p x n (1 − x n) has cycles (periodic solutions) of minimal periods 1, p, 2p, 3p, .... Then we extend Singer's theorem to periodic difference equations, and use it to show the p-periodic logistic equation has at most p stable cycles. Also, we present computational methods investigating the stable… (More)

We investigate the effect of constant and periodic harvesting on the Beverton-Holt model in a periodically fluctuating environment. We show that in a periodically fluctuating environment, periodic harvesting gives a better maximum sustainable yield compared to constant harvesting. However, if one can also fix the environment, then constant harvesting in a… (More)

- Ziyad Alsharawi
- Computers & Mathematics with Applications
- 2008

5 We study the combinatorial structure of periodic orbits of nonautonomous difference 6 equations x n+1 = f n (x n) in a periodically fluctuating environment. We define the 7 Γ-set to be the set of minimal periods that are not multiples of the phase period. We 8 show that when the functions f n are rational functions, the Γ-set is a finite set. In 9… (More)

- Ziyad AlSharawi, Mohamed B H Rhouma
- Journal of biological dynamics
- 2009

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… (More)

- Ziyad Alsharawi, James Angelos, Saber Elaydi
- I. J. Bifurcation and Chaos
- 2008

Existence and stability of periodic orbits of periodic difference equations with delays. Abstract In this paper, we investigate the existence and stability of periodic orbits of the p-periodic difference equation with delays x n = f (n − 1, x n−k). We show that the periodic orbits of this equation depend on the periodic orbits of p autonomous equations when… (More)

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