2022
DOI: 10.1007/s12652-021-03638-3
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Gudermannian neural networks using the optimization procedures of genetic algorithm and active set approach for the three-species food chain nonlinear model

Abstract: The present study is to investigate the Gudermannian neural networks (GNNs) using the optimization procedures of genetic algorithm and active-set approach (GA-ASA) to solve the three-species food chain nonlinear model. The three-species food chain nonlinear model is dependent upon the prey populations, top-predator, and specialist predator. The design of an error-based fitness function is presented using the sense of the three-species food chain nonlinear model and its initial conditions. The numerical results… Show more

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Cited by 33 publications
(12 citation statements)
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“…Further, characterizing bifurcation types for non-autonomous models is essential and will be considered in future work by extending the current study. Furthermore, the current study can be extended by employing an artificial neural network scheme to solve the model of the nonlinear dynamics for COVID-19 or by using a stochastic algorithm framework as proposed by previous studies [85] , [86] , [87] , [88] , [89] , which would significantly help in prevention and mitigation strategies of emerging infectious diseases.…”
Section: Discussionmentioning
confidence: 99%
“…Further, characterizing bifurcation types for non-autonomous models is essential and will be considered in future work by extending the current study. Furthermore, the current study can be extended by employing an artificial neural network scheme to solve the model of the nonlinear dynamics for COVID-19 or by using a stochastic algorithm framework as proposed by previous studies [85] , [86] , [87] , [88] , [89] , which would significantly help in prevention and mitigation strategies of emerging infectious diseases.…”
Section: Discussionmentioning
confidence: 99%
“…the proposed stochastic computing framework can be applied to solve the nonlinear mathematical models arising in fluid dynamics [ [54] , [55] , [56] , [57] ], thermal explosion models [ 58 , 59 ], singular studies [ 60 , 61 ], and food chain systems [ 62 , 63 ].…”
Section: Future Research Directionsmentioning
confidence: 99%
“…The neural network has been successful in solving partial differential equations in mathematical modelling and the applied science, such as medical smoking model [ 16 ], nonlinear high order singular models [ 17 ], food chain system [ 18 – 20 ], Liénard differential model [ 21 ], etc. The neural network was also used to solve the Fredholm integral equations in [ 12 , 13 ], where the authors only evaluated the approximation at some fixed points without generalization.…”
Section: Introductionmentioning
confidence: 99%