Modelling of transmission dynamics of Nipah virus (Niv): A fractional order Approach

This work contains a mathematical model able to portray the transmission of Nipah virus within a targeted population. We argued that, the model with classical differential provide a description based on the Markovian process where the evolution equation is memory-less which of course is not in line with the real world situation. In order to include introduce into mathematical model the effect of waiting distribution able to capture the exponential and power which are natural law follow by several physical problem, we replaced the local time differential operator with a differential operator with the Mittag-Leffler function. We presented in detail the study disease free equilibrium and reproduction number. Some interesting theorems were suggested and proven. The model was solved numerical via a newly established numerical method.