Abstract
Through this paper, we aim to study the dynamics of 2019-nCoV transmission using fractal-ABC type fractional differential equations by incorporating population self-protection behavior changes. The basic parameters of disease dynamics spread differently from country to country due to the different sensitive parameters. The proposed model in this study links the infection rate, the marginal value of the infection force for the population, the recovery rate, the rate of decomposition of the 2019-nCoV in the environment, and what methods are needed to stop the spread of the virus. We give a detailed analysis of the proposed model in this study by analyzing disease-free equilibrium point, the number of reproduction and the positivity of the model solutions, in addition to verifying the existence, uniqueness and stability of this disease using fixed point theories. Further on exploiting Adam Bash's numerical scheme, we compute some numerical results for the required model. The concerned results have been simulated against some real initial data of three different counties including China, Brazil, and Italy.