Limits: Journal of Mathematics and Its Applications
Vol. 23 No. 1 (2026): Limits: Journal of Mathematics and Its Applications Volume 23 Nomor 1 Edisi Ap

Pengaruh Reaksi Difusi-Adveksi pada Sistem Pemangsa-Mangsa

Maulana Asrafi (Sebelas Maret University)
Sutrima (Universitas Sebelas Maret)



Article Info

Publish Date
16 Apr 2026

Abstract

The predator-prey system is a model of interspecies interaction dynamics that is naturally influenced by environmental factors such as diffusion and advection. In the context of ecology, diffusion represents the spread of populations due to random movement from high to low concentrations, while advection models the influence of directed external flows such as river currents or wind. This study aims to examine the effect of the combination of these two reactions on the stability of the equilibrium point of the system through theoretical analysis and literature review. The results show that the presence of diffusion-advection significantly changes the stability conditions, particularly at equilibrium points  and .  Bifurcation analysis reveals the occurrence of Turing instability and Hopf bifurcation at certain parameter values. Biologically, this phenomenon indicates that disturbances in environmental flows can trigger the formation of uneven population distribution patterns (spatial heterogeneity) and population fluctuations that oscillate over time. This finding confirms that predatory interactions are highly sensitive to physical environmental parameters that go beyond purely biological interactions.

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Journal Info

Abbrev

limits

Publisher

Subject

Computer Science & IT Mathematics

Description

Limits: Journal of Mathematics and Its Applications merupakan jurnal yang diterbitkan oleh Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember, Surabaya, Indonesia. Limits menerima makalah hasil riset di semua bidang Matematika, terutama bidang Analisis, Aljabar, Pemodelan Matematika, ...