Pandemia severely affects international health systems. Researchers found out that there is a correlation between weather conditions and respiratory diseases. This paper focuses on the nonlinear analysis of respiratory diseases, and their relation to weather conditions. Chaos events that totally random but may actually have underlying patterns. For weather conditions, Edward Lorenz defined this phenomenon as the butterfly effect. This inspired us to define a chaotic system which could capture properties of respiratory diseases. The chaotic analysis was performed and was related to the difference in the daily number of cases received from real data. The correlation between patient predicted number and the new chaotic equation solution was 90,16. In the future, this equation will be implemented in a real-time warning system for use by national health services.