The purpose of this paper is to demonstrate the importance of mathematics in the Palestinian
economy by deriving a dynamic model for the speed –the rate of change – of the expansion for the
Israeli settlements and thus the “swallowing” rate of Palestinian lands. Partial Differential
Equations were used to derive a theoretical model for the “swallowing” rate of Palestinian lands
by Israeli settlements, which in turn result in tremendous negative effects on both the agricultural
and industrial sector of the Palestinian economy. The developed dynamic model explains the
process of which the Israeli settlements expands and the variables affecting the “swallowing” rate.
The data was plotted and a mathematical equation was fitted for the growth rate of the settlements.
This will give the policymakers an approximation of how fast the settlements are expanding and
may aid them in their strategic planning of Palestinian development.
Swallowing of Palestinian lands Israeli Settlements Gompertz Model Palestinian Economy Partial Differential Equation
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