Chikungunya virus (CHIKV) is a mosquito-transmitted alphavirus that causes acute fever and acute and chronic musculoskeletal pain in humans, there is currently no vaccine, cure or specific treatment for Chikungunya. Chikungunya originated in Africa and has since spread across the entire globe causing large numbers of epidemics that have infected millions of people in Asia, Indian subcontinent, Europe, the Americas, and Pacific Islands. Adequate coordinated efforts comprising active surveillance, early detection, vector control and public awareness at local, national and international level need to be adopted in endemic areas for the effective control of Chikungunya virus infection. There is a risk that the virus will be imported to new areas by infected travelers. There is no vaccine to prevent or medicine to treat chikungunya virus infection. Travelers can protect themselves by preventing mosquito bites. The aims of this paper is to study Chikungunya virus and to illustrate the possibility of its modeling by Lagrange method using Matlab. Also we made modeling of results of tests for patients with Chikungunya numerically using Lagrange interpolating method and using Lagrange interpolating method by Matlab which is one of the most famous mathematical programs in the mathematical modeling of mathematical problems. We followed the numerical method and applied mathematical method using Matlab. We found that the modeling using Lagrange interpolating method by Matlab is more accuracy and speed than the numerical method were we explained this fact that we have reached in three figures which proves the aptitude the usage of Matlab in mathematical modeling.