In this paper, optimal control for a novel West Nile virus （WNV） model of fractional order derivative is presented. The proposed model is governed by a system of fractional differential equations （FDEs）, where the...In this paper, optimal control for a novel West Nile virus （WNV） model of fractional order derivative is presented. The proposed model is governed by a system of fractional differential equations （FDEs）, where the fractional derivative is defined in the Caputo sense. An optimal control problem is formulated and studied theoretically using the Pon- tryagin maximum principle. Two numerical methods are used to study the fractional- order optimal control problem. The methods are, the iterative optimal control method （OCM） and the generalized Euler method （GEM）. Positivity, boundedness and conver- gence of the IOCM are studied. Comparative studies between the proposed methods are implemented, it is found that the IOCM is better than the GEM.展开更多
文摘In this paper, optimal control for a novel West Nile virus （WNV） model of fractional order derivative is presented. The proposed model is governed by a system of fractional differential equations （FDEs）, where the fractional derivative is defined in the Caputo sense. An optimal control problem is formulated and studied theoretically using the Pon- tryagin maximum principle. Two numerical methods are used to study the fractional- order optimal control problem. The methods are, the iterative optimal control method （OCM） and the generalized Euler method （GEM）. Positivity, boundedness and conver- gence of the IOCM are studied. Comparative studies between the proposed methods are implemented, it is found that the IOCM is better than the GEM.
