Abstract
The logistics model can be modified by adding migration factors as a function to the population. This function considers the existence of limited human migration and interaction by the ability of environmental carrying capacity. This model can be completed qualitatively by using the method of point balance analysis and quantitatively by using the exact undesired metodediferensial. Both of these methods give the same result. If the intrinsic growth rate is greater than for migration then for a long period of time, the model will depend on intrinsic growth factor, environmental carrying capacity and migration rate. Furthermore, if the intrinsic growth is small rather than migration then for a prolonged period of time, the model will depend on minus intrinsic growth, environmental carrying capacity and immigration. Then, if migration growth is the same as migration then the model becomes Malthus model.
Highlights
The logistics model can be modified by adding migration factors as a function
This function considers the existence of limited human migration and interaction by the ability
the model will depend on intrinsic growth factor
Summary
Berdasarkan definisi de facto penduduk, jumlah penduduk (JP) adalah meliputi semua warga yang diperkirakan tanpa memandang status undang-undang kewarganegaraan kecuali untuk pengungsi yang tidak secara tetap menetap di negara asal mereka (World Bank, 2015). Model ini didasarkan pada faktorpertumbuhan penduduk seperti kelahiran, kematian, danmigrasi(Murray, 2002).Secara umum, MPP dapat dirumuskan sebagai. MPP yang mudah (hanyadipengaruhi oleh jumlah kelahiran dan kematian saja) adalah model Malthus (Edwards and Penney, 2008). Berdasarkan (1.1), model Malthus dirumuskan dengan M=0, dan Rbernilaipositif ditandai sebagai r.Sementara itu, MPPyang dipengaruhi oleh hanya jumlah kelahiran,jumlah kematian dan kemampuan daya dukung lingkungan (KDDL)adalah model logistik (ML) (Edwards and Penney, 2008). Berdasarkan (1.1), ML dirumuskan dengan M=0, dan R sebagai fungsi bagi populasi terhadap masa (disebut h(P)) (Boyce and DiPrima, 2009). Maka model tersebut kami kembangkan lagi dengan menjadikan FMsebagai fungsiyang kami sebut Modifikasi Model Logistik (MML).Fungsi dalam FM tersebut akan bergantung pada populasi.Oleh kerana itu,untuk MML, FM dikajisebagai fungsi bagi populasi(lihat Bagian 3). Dan dua nilai awal P0 yang berbeda bagi melihat perbedaan graf P(t) yang diperoleh
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