In this paper, we have studied the diffusive predator-prey model with Monod-Haldane functional response. The stability of the positive equilibrium and the existence of Hopf bifurcation are investigated by analyzing the distribution of eigenvalues without diffusion. We also study the spatially homogeneous and non-homogeneous periodic solutions through all parameters of the system which are spati...

For a class of impulsive predator-prey systems with Monod-Haldane functional response and seasonal effects, we investigate conditions for the local and global stabilities of prey-free solutions and for the permanence of the system by using the Flquet theory of impulsive differential equations and comparison techniques. In addition, we numerically analyze the phenomena caused by seasonal effects...

The optimization of the operation of biological reactors is an interesting non-linear problem whose solution o!ers potential economic bene"t. We apply a peak seeking method to approach the maximum biomass production rate in a continuous stirred tank bioreactor. Two models, Monod and Haldane, are investigated and it is shown by simulation that the peak seeking scheme achieves optimization for bo...

We investigate an impulsive predator-prey system with Monod-Haldane type functional response and control strategies, especially, biological and chemical controls. Conditions for the stability of the prey-free positive periodic solution and for the permanence of the system are established via the Floquet theory and comparison theorem. Numerical examples are also illustrated to substantiate mathe...

Abstract In the present article, we propose and analyze a new mathematical model for predator–prey system including following terms: Monod–Haldane functional response (a generalized Holling type IV), term describing anti-predator behavior of prey populations one an impulsive control strategy. particular, establish existence condition under which has locally asymptotically stable prey-eradicatio...

Batch scale activated sludge kinetic studies were undertaken for the treatment of pet food wastewater characterized by oil and grease concentrations of up to 21,500 mg/L, COD and BOD concentrations of 75,000 and 60,000 mg/L, respectively as well as effluent from the batch dissolved air flotation (DAF) system. The conducted kinetics studies showed that Haldane Model fit the substrates and biomas...