Penulis / NIM

MUHAMMAD AFRIZAL BETA / 412419026

Program Studi

S1 - MATEMATIKA

Pembimbing 1 / NIDN

Dr. HASAN S. PANIGORO, S.Pd., M.Si. / 0001058501

Pembimbing 2 / NIDN

RESMAWAN, S.Pd.,M.Si / 0013048801

Abstrak

This ungraduate thesis discussed the global dynamical properties of Lotka-Volterra model which combined the fear effect, competition, and proportional harvesting. Caputo's fractional-order derivative was chosen as the operator to apply the memory effect to the model. There are three equilibrium points, including the point of origin, the point of predator extinction, and the point of coexistence. The use of Lyapunov function that is simultaneous with LaSalle's Invariance Principle generated global stability condition. Therefore, to obtain the analysis results, a numerical simulation was given using a predictor-corrector scheme.

Download berkas

Abstrak

Bab I : Pendahuluan

Bab V : Kesimpulan, Saran dan Daftar Pustaka