Unesa.ac.id. SURABAYA–Born and raised in the City of Heroes, Prof. Abadi grew up from a simple family that always emphasized the importance of education as a path to change. His perseverance and love of science led him to become a professor in the field of applied mathematics (dynamical systems) at Surabaya State University (UNESA), on October 29 2024.
At his inauguration, he delivered a scientific speech entitled "Dynamic Systems and Their Application in the Fields of Mechanics, the Spread of Infectious Diseases, and Population Interactions (Study of Mathematical Modeling and Analysis and Interpretation)" applying mathematics in various fields.
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He explains how dynamic systems are a mathematical tool that can be used to understand changes in various phenomena in real life. A dynamic system is a mathematical model to describe how a phenomenon evolves over time.
According to him, through this mathematical model, understanding of physical, biological and economic changes can be identified and analyzed more precisely.
In his research, he developed an auto-parametric system model to study stability in weak vibration systems. This system consists of two subsystems, with one subsystem as an oscillator or primary system, while the other subsystem acts as a secondary system that is connected non-linearly.
"This model allows the secondary system to remain stable when the primary system oscillates, "creating auto-parametric mechanisms which are divided based on excitation causes such as external forces, parametrics and self-excitation," he explained.
Prof Abadi immortalized this historic moment in his academic career with his family.
Through mathematical modeling and cycle graphs heteroclinic, he showed that the solution of this system is finite and stable through a process known as Hopf bifurcation. Stability in this autoparametric system is important in ensuring the solution is limited, which means that the system reaches equilibrium even though it is affected by oscillations.
Not only that, Prof. Abadi also developed mathematical models to understand the spread of infectious diseases, especially measles. The model developed modifies the classic SIR (Susceptible-Infected-Recovered) model from 1927 by taking into account vaccination and hospitalization measures.
This modified model, called the SIHR (Susceptible-Infected-Hospitalized-Recovered) model, shows how vaccination and treatment for measles sufferers can significantly reduce the spread of the disease.
"From the results "We can conclude from the simulation that vaccination and hospitalization are effective in reducing the rate of measles transmission, which supports health policies in controlling infectious diseases," he explained.
The study was also applied to population interactions through the prey-prey model. predator Lotka-Volterra by considering the variability of environmental carrying capacity. He includes fluctuations in environmental carrying capacity in this model, because in reality this carrying capacity often changes.
This model shows that under certain conditions, prey and predator populations can reach stable ecosystem balance.
“The stable periodic solutions we obtained show that populations of prey, predators and resources can coexist at a certain balance. "This is important in conservation efforts because it shows the potential for preserving resources and populations in the ecosystem," he added.
He hopes that the results of his research can provide real benefits in the fields of health, technology and environmental sustainability, as well as encourage the younger generation to continue to innovate.[*]
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Reporter: Muhammad Dian Purnama (FMIPA)
Editor: @zam*
Photo: UNESA PR Team
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