Extended Hybrid Controller Design of Bifurcation in a Delayed Chemostat Model

Fractional-order differential models plays a pivotal role in depicting the relationship among concentration changes of various chemical substances chemistry. In this current study, we will explore dynamics delayed chemostat model. First all, prove that solution model exists and is unique by virtue fixed point theorem. Secondly, demonstrate non-negative applying some suitable inequality strategies. Thirdly, boundedness to explored via constructing reasonable function. Fourthly, Hopf bifurcation stability are dealt with exploiting criterion theory on fractional dynamical system. Fifthly, domain resoundingly controlled making use an extended hybrid controller. Sixthly, effectively adjusted another The delay revealed. Seventhly, software experiments given illustrate rightness gained key conclusions. acquired outcomes work perfectly innovative have crucial theoretical value controlling concentrations substances.