Indonesia has a vast sea area and consists of many islands, so shipping companies are very beneficial for Indonesia's people. This study aims to estimate parameters and analyze mathematical models of shipping company competition between three shipping companies in Surabaya. This model is a differential equation and uses the Lotka- Volterra mathematical model. In this study, the estimation of model parameters is done using the genetic algorithm method based on the number of container production transported by shipping companies. The mathematical model is then analyzed by finding the equilibrium point and checking its stability by substituting the parameter value from the estimation results. The results of this mathematical simulation model show that the three companies exist in the future, and competition between the three companies still occurs.

1.
Peraturan Pemerintah Republik Indonesia
,
Penyelenggaraan dan Pengusahaan Angkutan Laut No. 17
(text in Indonesian) (
1998
).
2.
Kargo Penyedia Jasa Logistik
, www.kargo.tech, accesed on 09 December 2019.
3.
Kementerian Perhubungan Indonesia
, www.dephub.go.id, accesed on 16 Desember 2019.
4.
PT. Pelabuhan Indonesia III
, www.pelindo.co.id, accessed on 26 March 2020.
5.
Hastings
,
A.
,
Population Biology: Concept and Models
,
Springer
,
New York
(
1997
).
6.
Lee
,
S.
,
Lee
,
D.
,
Oh
,
H.
,
Technological forecasting at the Korean stock market: A dynamic competition analysis using Lotka-Volterra model
,
Technological Forecasting and Social Change
72
(
8
):
1044
1057
(
2005
).
7.
Hung
,
H.
,
Tsai
,
Y.
, &
Wu
,
M.
,
A modified Lotka-Volterra model for competition forecasting in Taiwans retail industry
,
Computers & Industrial Engineering
77
:
70
79
(
2014
).
8.
Hung
,
H.
,
Chiu
,
Y.
,
Huang
,
H.
, &
Wu
,
M.
,
An enhanced application of Lotka-Volterra model to forecast the sales of two competing retail formats
,
Computers & Industrial Engineering
109
:
325
334
(
2017
).
9.
Fatmawati
,
Khan
, M.A.,
Azizah
,
M.
,
Windarto
, &
Ullah
,
S.
,
A fractional model for the dynamics of competition between commercial and rural banks in Indonesia
,
Chaos, Solitons and Fractals
122
:
32
46
(
2019
).
10.
Windarto
,
Indratno
, S.W.,
Nuraini
,
N
, &
Soewono
,
E.
,
A comparison of binary and continuous genetic algorithm in parameter estimation of a logistic growth model
,
AIP Conference Proceedings
1587
:
139
142
(
2014
).
11.
Windarto
,
An implementation of continuous genetic algorithm in parameter estimation of predator-prey model
,
AIP Conference Proceedings
1718
,
110005
(
2016
).
This content is only available via PDF.
You do not currently have access to this content.