Browsing Department of Mathematics and Statistics by Author "09fa95e8-7a18-4ffe-8648-652109ae8ff0"
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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 ... -
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 ... -
The impact of constant effort harvesting on the dynamics of a discrete-time contest competition model
Al-Sharawi, Ziyad; Amleh, Amal (Wiley, 2017)In this paper, we study a general discrete–time model representing the dynamics of a contest competition species with constant effort exploitation. In particular, we consider the difference equation xn+1 = xnf(xn−k) − hxn ...