TY - JOUR AU - MICKENS, RONALD E. AU - OYEDEJI, ’KALE PY - 2017/07/15 Y2 - 2024/03/29 TI - A CLASS OF GENERALIZATIONS OF THE LOTKA-VOLTERRA PREDATOR-PREY EQUATIONS HAVING EXACTLY SOLUBLE SOLUTIONS JF - Journal of the Nigerian Mathematical Society JA - JNMS VL - 36 IS - 1 SE - Articles DO - UR - https://ojs.ictp.it/jnms/index.php/jnms/article/view/85 SP - 47-54 AB - We consider a number of ordinary differential equations which may be used to model predator-prey (P-P) interactions. All of these equations are generalization of the standard Lokta-Volterra equations. However, the new equations have the important feature that they can be explicitly solved<br />in terms of elementary functions. We also discuss the general<br />mathematical restrictions which need to be placed on the various terms in the P-P equations for valid models to exist. The results are extended to the more realistic case where the prey population has more complex population dynamics. ER -