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DYNAMIC ANALYSIS OF PREDATOR-PREY MODEL WITH CANNIBALISM INTERVENTION AND DISEASE INFECTION IN PREY USING HOLLING TYPE II RESPONSE FUNCTION Fardinah, Fardinah; Hikmah, Hikmah; Abubakar, Rahmah; Qadrini, Laila; Haris, Haris; Salsabilah, Nadia
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 19 No 3 (2025): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol19iss3pp1945-1956

Abstract

This study discusses the intervention of cannibalism and disease spread with Holling Type II response function in the predator-prey model. It is assumed that disease infection is limited to the prey population and cannot be cured so that in this model there are three subpopulations namely susceptible prey, infected prey and predators. In addition, there is cannibalism in the predator population. The objectives of this study include constructing a predator-prey model with cannibalism intervention and disease infection in prey using Holling Type II response function, identifying the stability of the equilibrium point of the model and interpreting the model based on simulation results. Analysis of the stability of the equilibrium point is carried out with a linearization approach and the Routh-Hurwitz criterion was used to determine equilibrium stability. Based on the stability analysis, 5 (five) equilibrium points are obtained, namely population extinction, susceptible prey exists, predator extinction, infected prey extinction and population exists where the population extinction equilibrium point is unstable and the other equilibrium points are stable with the certain conditions. From the simulation, it is obtained that the numerical results are in accordance with the analytical results of the stability analysis of the equilibrium point of the model and for infinite time, there will be no population extinction while the state of susceptible prey exists, predator extinction, infected prey extinction and population exists can occur if the stability conditions are met. Based on the numerical simulations, it was found that changes in the parameter values of the rate of change of susceptible prey to infected prey and the coefficient of predator cannibalism in day-1 can cause changes in the type of stability of the equilibrium point. Thus, rate of change susceptible prey to infected prey and the coefficient of predator cannibalism affects the population of prey and predator.
CASH HOLDING PERUSAHAAN SEKTOR OTOMOTIF Salsabilah, Nadia; Lautania, Maya Febrianty
Jurnal Ilmiah Mahasiswa Ekonomi Akuntansi Vol 8, No 3 (2023): Agustus 2023
Publisher : Accounting Departement Economics and Business Faculty Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/jimeka.v8i3.25029

Abstract

This research investigates the relationships between growth opportunity, net working capital, and cash conversion cycle with cash holdings of publicly listed automotive companies on the Indonesian stock exchange during the live years (2017-2021). The data used in this research was obtained from 14 publicly listed automotive companies, and collected through saturation sampling. This research employs a panel data regression model due to the data in this research sharing the characteristic of the data panel where the Fixed Effect Model (FEM) is assumed to be an appropriate model because the value of intercept in this research is individually different. Using Eviews 12, the first step is to assess whether the data follows a normal distribution and to evaluate the suitability of the FEM for this research. Finally, the estimation process is conducted to present the result of this research. This research shows that growth opportunities, net working capital, and cash conversion cycles simultaneously affect cash holding with an 80.17% confidence in explaining variations in cash holdings. However in partial, growth opportunity and cash conversion cycle do not affect cash holding, while net working capital negatively influences cash holding.