This book is an introduction for readers interested in biological applications of mathematics and modeling in biology, showing how relatively simple mathematics can be applied to a variety of models. Despite the great advances that have taken place, the simple lessons described in the text are still important and informative.

The text of this monograph represents the author's lecture notes from a course taught in the Department of Applied Mathematics and Statistics at the State University of New York at Stony Brook in the Spring of 1977. On account of its origin as lecture notes, some sections of the text are telegraphic in style while other portions are overly detailed. This stylistic foible has not been modified as it does not appear to detract seriously from the readability and it does help to indicate which topics were stressed. The audience for the course at Stony Brook was composed almost entirely of fourth year undergraduates majoring in the mathematical sciences. All of these students had studied at least four semesters of calculus and one of probability; few had any prior experience with either differential equations or ecology. It seems prudent to point out that the author's background is in engineering and applied mathematics and not in the biological sciences. It is hoped that this is not painfully obvious. -vii- The focus of the monograph is on the formulation and solution of mathematical models; it makes no pretense of being a text in ecology. The idea of a population is employed mainly as a pedagogic tool, providing unity and intuitive appeal to the varied mathematical ideas introduced. If the biological setting is stripped away, what remains can be interpreted as topics on the qualitative behavior of differential and difference equations.

Receiving the Lord's Healing is simple: you just need to open to Him, cleanse life's issues and ask for His healing This book outlines a Method of Healing Personal Hurt entitled "The Five Fold Cycle." It is simple and can be used to aid in the healing of memories, healing of emotions, healing of self-image, and healing of relationships. It is a method of fine-tuning healing prayer to better utilize the Lord's pruning and cleansing. Scripture describes the Lord's pruning & cleansing in this manner: "I am the true vine, and my Father is the vinegrower. He removes every branch in me that bears no fruit. Every branch that bears fruit he prunes to make it bear more fruit." (John 15: 1-2) Our task is to take each area of our life, (body, mind, soul & spirit), to the Lord, and bring it under His Light and Lordship (His rule). Each is a mini-conversion experience - dying to self, renewing the old. How simple are the wonders of the Lord's Healing in our life....