TY - JOUR AU - Olutimo, Akinwale AU - Adams, Daniel AU - Abdurasid, Abdullai PY - 2022/12/27 Y2 - 2024/03/29 TI - Stability and Boundedness Analysis of a Prey-Predator System with Predator Cannibalism: Stability and Boundedness Analysis... JF - Journal of the Nigerian Mathematical Society JA - JNMS VL - 41 IS - 3 SE - Articles DO - UR - https://ojs.ictp.it/jnms/index.php/jnms/article/view/890 SP - 275 - 286 AB - <p>The prey-predator system with predator cannibalism is considered in this<br>papper. We employ the Lyapunov’s direct method for the prey-predator system<br>and demonstrate its efficacy. This method is built upon theoretical Lyapunov’s<br>function that is constructed such that the scalar function and its derivative is<br>positive and negative definite respectively to determine the dynamic behaviour<br>of the system considered including stability and boundedness. The results show<br>that the density functions describing the prey-predator system is better rapidly<br>converging under certain sufficient conditions obtained by the Lyapunov functional.<br>We give numeric example to support our findings.</p> ER -