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    The effect of maps permutation on the global attractor of a periodic Beverton-Holt model 

    Al-Ghassani, Asma; Al-Sharawi, Ziyad (Elsevier, 2020-04-01)
    Consider a p-periodic difference equation xn+1 = fn(xn) with a global attractor. How does a permutation [fσ(p−1), . . . , fσ(1), fσ(0)] of the maps affect the global attractor? In this paper, we limit this general question ...
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    Stability and bifurcation analysis of a discrete-time predator-prey model with strong Allee effect 

    Al-Sharawi, Ziyad; Pal, Saheb; Rana, Sourav; Pal, Nikhil; Chattopadhyay, Joydev (Taylor & Francis, 2020-03-16)
    In this paper, we investigate the impact of Allee effect on the stability of a discrete-time predator-prey model with a non-monotonic functional response. The proposed model supports the coexistence of two steady states, ...
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    Existence and stability of periodic orbits of periodic difference equations with delays 

    Al-Sharawi, Ziyad; Angelos, James; Elaydi, Saber (World Scientific Publishing, 2008)
    In this paper, we investigate the existence and stability of periodic orbits of the p-periodic difference equation with delays xₙ = f(n - 1, xₙ₋ₖ). We show that the periodic orbits of this equation depend on the periodic ...
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    Basin of Attraction through Invariant Curves and Dominant Functions 

    Al-Sharawi, Ziyad; Al-Ghassani, Asma; Amleh, Amal (Hindawi, 2015)
    We study a second-order difference equation of the form 𝑧ₙ₊₁= 𝑧ₙ𝐹(𝑧ₙ₋₁) + ℎ, where both 𝐹(𝑧) and 𝑧𝐹(𝑧) are decreasing. We consider a set of invariant curves at ℎ = 1 and use it to characterize the behaviour of ...
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    Harvesting and stocking in discrete-time contest competition models with open problems and conjectures 

    Al-Sharawi, Ziyad; Amleh, Amal (Palestine Polytechnic University, 2016)
    In this survey, we present a class of first and second-order difference equations representing general form of discrete models arising from single-species with contest competition. Then, we consider various harvesting/stocking ...
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    Advances in periodic difference equations with open problems 

    Al-Sharawi, Ziyad; Cánovas, Jose; Linero, Antonio (Springer, 2014)
    In this paper, we review some recent results on the dynamics of semi-dynamical systems generated by the iteration of a periodic sequence of continuous maps. In particular, we state several open problems focused on the ...
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    A Global Attractor in Some Discrete Contest Competition Models with Delay under the Effect of Periodic Stocking 

    Al-Sharawi, Ziyad (Hindawi, 2013)
    We consider discrete models of the form 𝒳ₙ₊₁= 𝒳ₙ𝒇(𝒳ₙ₋₁) + 𝒉ₙ , where 𝒉ₙ is a nonnegative 𝒑-periodic sequence representing stocking in the population, and investigate their dynamics. Under certain conditions on the ...
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    On the periodic logistic equation 

    Al-Sharawi, Ziyad; Angelos, James (Elsevier, 2006)
    We show that the 𝒑-periodic logistic equation 𝒳ₙ₊₁ = μₙ mod 𝒑𝒳ₙ(1 - 𝒳ₙ) has cycles (periodic solutions) of minimal periods 1; 𝒑; 2𝒑; 3𝒑; …. Then we extend Singer’s theorem to periodic difference equations, and use ...
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    A new characterization of periodic oscillations in periodic difference equations 

    Al-Salman, Ahmad; Al-Sharawi, Ziyad (Elsevier, 2011-11)
    In this paper, we characterize periodic solutions of p-periodic difference equations. We classify the periods into multiples of p and nonmultiples of p. We show that the elements of the set of multiples of p follow the ...
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    An Extension of Sharkovsy’s Theorem to Periodic Difference Equations 

    Al-Sharawi, Ziyad; Angelos, James; Elaydi, Saber; Rakesh, Leela (Elsevier, 2006)
    We present an extension of Sharkovsky’s Theorem and its converse to periodic difference equations. In addition, we provide a simple method for constructing a p-periodic difference equation having an r-periodic geometric ...
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    Al-Sharawi, Ziyad (20)
    Rhouma, Mohamed Ben Haj (4)Amleh, Amal (3)Angelos, James (3)Al-Ghassani, Asma (2)Chattopadhyay, Joydev (2)Cánovas, Jose (2)Elaydi, Saber (2)Linero, Antonio (2)Pal, Nikhil (2)... View MoreSubjectPeriodic orbits (4)Cycles (3)Global stability (3)Harvesting (3)Neimark-Sacker bifurcation (3)Periodic difference equations (3)Periodic solutions (3)Persistence (3)Combinatorial dynamics (2)Contest competition (2)... View MoreDate Issued2020 - 2022 (4)2010 - 2019 (10)2006 - 2009 (6)Has File(s)Yes (20)

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