3D Differential Equation Model for Patients' Choice of Hospital in China

Area of Science:

• Health economics
• Mathematical modeling
• Public health policy

Background:

• Patient hospital choice is a complex process influenced by numerous factors.
• China's healthcare system exhibits a preference for high-grade hospitals.
• Understanding patient flow across different hospital tiers is crucial for resource allocation.

Purpose of the Study:

• To develop a mathematical model simulating patient visit variations across three hospital grades in China.
• To analyze the impact of 'leapfrog treatment' rates and healthcare capacity on the hospital system.
• To identify key factors influencing the sustainability and efficiency of China's tiered hospital system.

Main Methods:

• Established a three-dimensional differential equation model to represent patient flow over time.
• Conducted qualitative analysis of the dynamic system.
• Performed numerical simulations to assess the effects of changing key parameters.

Main Results:

• The sustainability of China's three-tiered hospital system is primarily dependent on the developmental level of each hospital tier.
• The effectiveness of comprehensive health improvement initiatives at specific hospital levels is critical for enhancing medical resource efficiency.
• Simulation results highlight the sensitivity of patient distribution to treatment rates and capacity.

Conclusions:

• Strategic development and targeted health improvement programs are essential for optimizing China's healthcare resource allocation.
• The model provides insights into managing patient flow and ensuring the viability of different hospital levels.
• Policy interventions should focus on strengthening specific hospital tiers to improve overall system performance.