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The effect of refugia on prey-predator model with parasite infection Azizah, Fitri Nur; Alivia, Annisa Risda; Syahrul Haz, Habban Riawan; Yashkun, Ubaidullah
International Journal of Applied Mathematics, Sciences, and Technology for National Defense Vol. 2 No. 2 (2024): International Journal of Applied Mathematics, Sciences, and Technology for Nati
Publisher : FoundAE

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58524/app.sci.def.v2i2.423

Abstract

This study examines the impact of prey-hiding behavior on predator-prey dynamics within theoretical and mathematical ecology. We conduct both analytical and numerical analyses to explore the effects of protection on these dynamics. Our model divides the prey population into two subclasses: susceptible prey (S(t)) and infected prey (I(t)), changing over time. Utilizing a Holling's model type-1, we find that the trivial equilibrium of the model is unstable, while both the disease-free and disease equilibrium points are stable. These simulations provide insights into the characteristics of animals in natural environments.
The least squares concept in reducing noisy signal of single-beam acoustic systems: Ocean depth measurement to support maritime defense systems Alivia, Annisa Risda; Azizah, Syasya Qonita; Alok Shukla
International Journal of Applied Mathematics, Sciences, and Technology for National Defense Vol. 3 No. 3 (2025): International Journal of Applied Mathematics, Sciences, and Technology for Nati
Publisher : FoundAE

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58524/app.sci.def.v3i3.643

Abstract

Indonesia's vast ocean territory presents both opportunities and security challenges, requiring robust maritime defense. Effective sea defense includes surface patrols with naval vessels and aircraft, alongside underwater surveillance using submarines and detection systems. Advanced acoustic technology, such as Single Beam Echo Sounder (SBES) sonar, is essential for underwater depth measurement. However, environmental noise often disrupts sonar recordings, necessitating noise reduction techniques. This study applies the Least Mean Square (LMS) filter, an adaptive algorithm that adjusts filter coefficients based on error minimization. Its real-time adaptability enhances noise suppression, improving sonar signal quality. The results indicate that the LMS filter achieves an optimal Signal-to-Noise Ratio (SNR) of 6.7248 dB, surpassing other methods. Furthermore, it accurately identifies signal delays, crucial for precise depth measurement. Enhancing underwater acoustic technology through LMS filtering supports improved hydrographic surveys, benefiting scientific research, commercial navigation, and military operations in securing Indonesia’s maritime domain.