MODEL MATEMATIKA RANTAI MAKANAN TIGA SPESIES
ABSTRACT: Predation
interaction between two species have been described in Lotka-Volterra
mathematical model. But in an ecosystem, predation interaction involving more
than two species. In this study will be discussed predation interaction
involving three species in a food chain. Obtained mathematical model will be
analyzed by finding the stability of fixed point, the stability of fixed point
will be analyzed with Routh-Hurwitz criterion. The model consists of three
differential equations representing each species. The model has four fixed
points, the fourth fixed point is stable, the first fixed point is not stable
but the third and second fixed point are stable with certain conditions. The
result of analisys show that three populations does not become extinct if
product of species I growth rate with spesies III growth rate is greater than
product of species I death rate with species III death rate.
Penulis: Yongki Sukma, Media
Rosha, Arnellis
Kode Jurnal: jpmatematikadd141512
