Elevate your academic publication with the Sastra Theme, a light and professional theme designed exclusively for OJS. Built on the modern Bootstrap 5 framework, this fully responsive theme offers unparalleled customization, including 3 header styles, 6 unique authentication page designs, and a dynamic homepage slider managed by a simple drag-and-drop uploader. Enhance your content workflow with advanced editor tools like a fullscreen mode and custom snippet inserter, while ensuring global reach with full RTL support. With a professionally redesigned article page and clean components to showcase indexing partners, the Sastra Theme provides everything you need to create a polished and user-friendly online journal.
Current Issue
Vol. 2 No. 1 (2026)
Sastra Journal : Math Earth
We explore the inherent mathematical beauty and underlying numerical laws governing our planet. This collection of papers posits that Earth is the ultimate laboratory for applied mathematics, examining phenomena from the logarithmic spirals of weather systems to the statistical distribution of seismic events. The contributors bridge the gap between abstract number theory and tangible environmental realities, revealing how humanity's efforts to measure, model, and conserve the planet are inextricably linked to the language of mathematics. It is an invitation to view the world not just through observation, but through quantification.
Published: 2025-08-10
Articles
Stochastic Differential Equations in Global Epidemiology: Modeling Pathogen Spread via Climate Vectors
Abstract
The interconnectedness of global travel and accelerating climate change has fundamentally altered the spread of infectious diseases. This paper moves beyond traditional SIR/SEIR models by introducing a framework based on stochastic differential equations (SDEs) to model the global dispersion of vector-borne pathogens. Our 'Math Earth' approach integrates large-scale climate datasets (temperature and precipitation anomalies) with global air traffic network data. This allows us to model the changing habitat suitability for vectors like the *Aedes aegypti* mosquito and predict new regions at risk for outbreaks of diseases such as dengue and Zika. The stochastic component of the model effectively captures the inherent randomness of transmission events and climate fluctuations. The findings provide a probabilistic risk map, highlighting emerging hotspots and demonstrating the power of advanced mathematical modeling in global public health preparedness and climate-resilient disease control strategies.
Mathematical Modeling of Subsurface Aquifer Dynamics: A Case Study
Abstract
The sustainable management of groundwater resources is a critical challenge for arid and semi-arid regions worldwide. This study presents a comprehensive mathematical model to simulate subsurface aquifer dynamics. We employ a finite element method (FEM) to solve the governing partial differential equations (PDEs) of porous media flow, incorporating factors such as hydraulic conductivity, anisotropic soil properties, and variable recharge rates from precipitation and irrigation. By assimilating satellite-derived data (e.g., GRACE) and in-situ well-level measurements, our model provides a high-resolution spatiotemporal forecast of aquifer depletion and land subsidence. The results offer a robust tool for policymakers to evaluate the long-term impacts of different water management strategies, such as managed aquifer recharge (MAR). This research underscores the essential role of applied mathematics in quantifying and preserving one of Earth's most vital, yet invisible, resources.