Abstract
In this paper, a noninteger order Brucellosis model is developed by employing the Caputo–Fabrizio noninteger order operator. The approach of noninteger order calculus is quite new for such a biological phenomenon. We establish the existence, uniqueness, and stability conditions for the model via the fixed-point theory. The initial approachable approximate solutions are derived for the proposed model by applying the iterative Laplace transform technique. Finally, numerical simulations are conducted for the analytical results to visualize the effect of various parameters that govern the dynamics of infection, and the results are presented using plots.
Highlights
Brucellosis is a contagious zoonotic infection that is attributable to diverse species of Brucella
The disease is well contained in Australia and the UK, the annual global incidence of Brucellosis is estimated above 500 000 [1, 2]
Brucellosis is endemic in the Caribbean, South America, Mediterranean Europe, Africa, Asia, and in the Middle East and poses considerable economic consequences in some of the regions despite the enforcement of firm veterinary hygiene interventions [3]
Summary
Brucellosis is a contagious zoonotic infection that is attributable to diverse species of Brucella. A good number of models with soliton solutions that are designed in terms of integer-order derivatives had been extensively studied in the last two decades [8,9,10,11,12]. A large number of logical and numerical procedures and schemes are proposed to define arbitrary and real solutions with noninteger operators for differential equations have been playing an exceptional task in the advancement of implementations of numerous problems.
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