ON UNIFORM BOUNDEDNESS AND STABILITY OF SOLUTIONS FOR PREDATOR-PREY MODEL FOR CERTAIN CLASS OF DELAY

The mathematical modelling of predator-prey interactions proposed by Lotka and Volterra in the 1920s was modified in this paper by adding a delay to the variable terms to provide the necessary and sufficient conditions for the altered model to guarantee Uniform Boundedness, Steady State Stability, and Linear Stability. The inclusion of delay in both state variables of the model terms P(x(t-) )y(t-) makes the study of the examined model both fascinating and challenging, and this paper also improves on the conclusions of the authors of [1-3].

Please see the link :- https://www.ikprress.org/index.php/AJOMCOR/article/view/817