A non-integer order dengue internal transmission model

*Correspondence: [email protected]; [email protected] 1Department of Mathematics, University of Engineering and Technology, Lahore, Pakistan 2Faculty of Information Technology, University of Central Punjab, Lahore, Pakistan Full list of author information is available at the end of the article Abstract A non-linear mathematical model with non-integer order γ , 0 < γ ≤ 1, is used to analyze the dengue virus transmission in the human body. Both disease-free F0 and endemic F∗ equilibria are calculated. Their stability is also described using the stability theorem of non-integer order. The threshold parameterR0 demonstrates an important behavior in the stability of a considerable model. ForR0 < 1, the disease-free equilibrium (DFE) F0 is an attractor. ForR0 > 1, F0 is not stable, the endemic equilibrium (EE) F∗ exists, and it is an attractor. Numerical examples of the proposed model are also proven to study the behavior of the system.