Ashi et al. (2026) Studying the effectiveness of cloud seeding on enhancing precipitation

Identification

• Journal: Scientific Reports
• Year: 2026
• Date: 2026-08-20
• Authors: H. A. Ashi, Nada Mohammed Aljadani, Sharefa Asiri
• DOI: 10.1038/s41598-026-66924-0

Research Groups

• Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia.

Short Summary

The study develops a mathematical model to simulate cloud seeding dynamics, proposing that aerosol chemicals be introduced proportional to water vapor density to optimize precipitation while reducing costs and environmental pollution.

Objective

• To construct and analyze a mathematical model that simulates the effectiveness of cloud seeding by introducing aerosol chemicals at a rate proportional to water vapor formation density rather than at a constant rate.

Study Configuration

• Spatial Scale: Not applicable (Theoretical mathematical model).
• Temporal Scale: Not applicable (Dynamic stability analysis).

Methodology and Data

• Models used: Mathematical simulation model, Linear stability analysis (utilizing Descartes’ rule of signs), and Lyapunov’s stability theory.
• Data sources: Theoretical derivations and numerical simulations.

Main Results

• The theoretical analysis identified the existence of a single critical point within the model.
• Linear stability analysis confirmed the local asymptotic stability of the critical point.
• Sufficient conditions for global stability were established using Lyapunov’s stability theory.
• Numerical simulations were conducted and successfully validated the analytical and theoretical findings.

Contributions

• The research proposes a more efficient aerosol induction strategy based on atmospheric vapor density, which minimizes the waste of chemical agents, reduces operational expenses, and decreases environmental pollution compared to traditional continuous induction methods.

Funding

• KAU Endowment (WAQF) at King Abdulaziz University, Jeddah, Saudi Arabia.
• Deanship of Scientific Research (DSR), King Abdulaziz University.

Citation

@article{Ashi2026Studying,
  author = {Ashi, H. A. and Aljadani, Nada Mohammed and Asiri, Sharefa},
  title = {Studying the effectiveness of cloud seeding on enhancing precipitation},
  journal = {Scientific Reports},
  year = {2026},
  doi = {10.1038/s41598-026-66924-0},
  url = {https://doi.org/10.1038/s41598-026-66924-0}
}