1st South Aceh International Conference on Engineering and Technology IOP Publishing
IOP Conf. Series: Materials Science and Engineering 506 (2019) 012024 doi:10.1088/1757-899X/506/1/012024
ௗூ = ߙߛܧ − (ߤ + ߜଵ)ܫ (1)
ௗ௧
ௗூ = (1 − ߙߛ)ܧ − (ߤ + ߜଶ)்ܫ
ௗ௧
ܰ = ܵ + ܧ+ ܫ+ ்ܫ
by N is total population. To solve equation (1), the simplification is done by making the proportion of
each population to the total population.
ݏ = ௌ ,݁ = ா ;݅ = ூ ;்݅ = ூ
ே ே ே ே
Hence, equation (1) can be written as follow and from that can get the equation (2):
ௗ௦ = ఒ (1 − )ݏ − (ߨ + ߚ݁ܰ − ߜଵ݅ − ߜଶ ்݅ )ݏ
ௗ௧ ே
ௗ = (ߨ + ߚ݁ܰ)ݏ − ቀ1 + ఒ − ߜଵ ݅ − ߜଶ ்݅ ቁ ݁
ௗ௧ ே
ௗ = ߙߛ݁ − ቀߜଵ + ఒ − ߜଵ݅ − ߜଶ ்݅ ቁ ݅ (2)
ௗ௧ ே
ௗ = (1 − ߙߛ)݁ − ቀߜଶ + ఒ − ߜଵ݅ − ߜଶ ்݅ ቁ ்݅
ௗ௧ ே
with ݏ+ ݁ + ݅ + ்݅ = 1. The parameters contained in SEIIT type mathematical modeling can be seen
in table 1.
Table 1. Parameter in mathematical modeling Type SEIIT.
Parameter Annotation Units
ߣ Birth rate time-1
ߤ Mortal rate by nature time-1
ߜଵ Mortal rate by disease towards population infected without time-1
treatment
ߜଶ Mortal rate by disease towards infected with treatment time-1
ߨ Population shift rate from susceptible to exposed by gene time-1
factors
ߚ Population shift rate from susceptible to exposed by infective time-1
contacts inter-population
ߙ Population shift rate from exposed to infected without time-1
treatment
3.2 Fixed Point
3.2.1 Fixed Point without disease
ܶ = (ݏ, ݁, ݅, ்݅) ; ݏ = ఒ; ݁ = 0; ݅ = 0; ்݅ = 0.
ఒାగே
3.2.2 Fixed Point with disease
ܶଵ = (∗ݏ, ݁∗, ݅∗, ்݅∗ )
3
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South Aceh International Conference On Engineering and Technology (SAICOET) 2018 is the
first international conference organized by Politeknik Aceh Selatan. The goal of the conference is to
facilitate researchers around the world to publish and to share their current research. The 2018 edition
of the conference will be held in Tapaktuan, Aceh Selatan, Indonesia on December, 8-9, 2018 at the
Rumoh Agam, Aceh Selatan and Building B in Politeknik Aceh Selatan. These proceeding contains the
selected scientific manuscripts submitted to the conference. It is with great pleasure to welcome you
to the "1st South Aceh International Conference On Engineering and Technology (SAICOET) 2018 " that
is held at Politeknik Aceh Selatan, Indonesia
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