Mathematical Model on the Dynamics of Bacterial Blight of Rice in the Presence of Lysobacter antibioticus Considering Introduction at Different Stages
Agada Apeh Andrew *
Department of Mathematics, Skyline University Nigeria, Kano, Nigeria.
Samuel Musa
Department of Mathematics, Modibbo Adama University, Yola, Nigeria.
Solomon Ortwer Adee
Department of Mathematics, Modibbo Adama University, Yola, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
In this research we formulated the Plants diseases model with the aim of studying the dynamics of the use of lysobacter antibioticus for prevention and control of rice bacterial blight. The disease free equilibrium state of the models was also obtained by equating each of the equation of the modified model to zero and simplifying. The basic reproduction number for the model was derived using the next generation matrix approach. Numerical simulation was carried out using MATLAB2018a to virtualize the dynamics of the model. Five numerical experiment was carried out and it was shown that biocontrol help to reduce the population of the pathogen as well as act as treatment for those that are already exposed or infected with the disease. It was also observed that the biocontrol agent provide immunity to rice plants against been infected with the disease. Finally, we observed from the simulation that the earlier the control is introduced the more protection plants will receive.
Keywords: Biocontrol, Lysobacter antibioticus, mathematical model, bacterial blight of rice