Hindawi Advances in Mathematical Physics Volume 2018, Article ID 2789412, 18 pages https://doi.org/10.1155/2018/2789412 Research Article Stability and Complexity Analysis of Temperature Index Model Considering Stochastic Perturbation Jing Wang Faculty of Science, Bengbu University, Bengbu 233030, China Correspondence should be addressed to Jing Wang;
[email protected] Received 20 October 2017; Accepted 12 December 2017; Published 1 January 2018 Academic Editor: Giampaolo Cristadoro Copyright © 2018 Jing Wang. Tis is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. A temperature index model with delay and stochastic perturbation is constructed in this paper. It explores the infuence of parameters and stochastic factors on the stability and complexity of the model. Based on historical temperature data of four cities of Anhui Province in China, the temperature periodic variation trends of approximately sinusoidal curves of four cities are given, respectively. In addition, we analyze the existence conditions of the local stability of the temperature index model without stochastic term and estimate its parameters by using the same historical data of the four cities, respectively. Te numerical simulation results of the four cities are basically consistent with the descriptions of their historical temperature data, which proves that the temperature index model constructed has good ftting degree. It also shows that unreasonable delay parameter can make the model lose stability and improve the complexity. Stochastic factors do not usually change the trend in temperature, but they can cause high frequency fuctuations in the process of temperature evolution.