Abstract
The aim of this work is to present the numerical results of the influenza disease nonlinear system using the feed forward artificial neural networks (ANNs) along with the optimization of the combination of global and local search schemes. The genetic algorithm (GA) and active-set method (ASM), i.e., GA-ASM, are implemented as global and local search schemes. The mathematical nonlinear influenza disease system is dependent of four classes, susceptible S(u), infected I(u), recovered R(u) and cross-immune individuals C(u). For the solutions of these classes based on influenza disease system, the design of an objective function is presented using these differential system equations and its corresponding initial conditions. The optimization of this objective function is using the hybrid computing combination of GA-ASM for solving all classes of the influenza disease nonlinear system. The obtained numerical results will be compared by the Adams numerical results to check the authenticity of the designed ANN-GA-ASM. In addition, the designed approach through statistical based operators shows the consistency and stability for solving the influenza disease nonlinear system.
Highlights
There are various serious diseases produced by viruses, of which influenza is one of them that primarily attacks the upper respiratory portions, bronchi, nose, throat and sometimes disturbs the lungs
The aim of this work is to solve the above nonlinear influenza disease model using the stochastic capabilities of artificial neural networks (ANNs), genetic algorithms (GA)
The methodology of the proposed ANN-GA-active-set method (ASM) structure to solve the nonlinear influenza system is defined in two steps: an objective function is designed to solve the ANN parameters and some crucial settings are provided to improve the objective function based on the GA-ASM
Summary
There are various serious diseases produced by viruses, of which influenza is one of them that primarily attacks the upper respiratory portions, bronchi, nose, throat and sometimes disturbs the lungs. The influenza is not a fatal illness, and most people recover within one to two weeks without medical care. This disease is a serious risk to older people or those with serious illnesses such as cancer, diabetes, heart, kidney problems and lung disease. Among these people, infection can lead to serious problems of primary diseases, such as pneumonia causing death. The epidemic rate of influenza is reported as between 5% and 15% per year of the population, which is affected by upper respiratory tract infections. The annual epidemics are witnessed between 3 and 5 million cases of serious illness and the number of deaths is reported to be around 250,000 and 500,000 [1]
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