<p>This study focus on the development of a mathematical model to analyze the impact of human activities on climate change by observing how climate events evolve over time. To investigate the various rates of climate change caused by human activity, a mathematical model has been developed based on hypotheses related to a healthy ecosystem. The Caputo operator is then used to transform the model into a fractional ordered model with theoretical solutions for ongoing monitoring. Also the next generation method is used to determine the models reproductive number to observe the climate change impact. Sensitivity analysis was developed to identify the most sensitive parameters and investigate the effects of variations in the rate of change under different circumstances. A suggested model is analyzed both qualitatively and quantitatively, with special attention paid to bounded-ness, positivity, existence and unique solutions. Both theoretically and statistically, the local stability of the model is verified. The Lyapunov derivative by endemic point of the model is used to investigate the global stability of the model. The effect of the fractional operator on the generalized form of the power law kernel for continuous monitoring of the climate change model due to human activities is investigated through numerical simulations using a two-step Lagrange polynomial method. The simulations demonstrate how various parameters impact occur on climate change due to human activities. The simulations are designed to replicate the behavior and impact of climate change due to human activities caused by both natural and human activities, and to observe the various measures for a healthy environment. Based on confirmed results for different strategies, this kind of research will be useful in determining how climate change impact occur due to human activities and in creating management plans.</p>