Mathematical Biosciences an international journal Volume 111 VIVIAN Hutson (Sheffield, England) AND KLaus Scumitt (Salt Lake City, Utah) Permanence and the Dynamics of Biological Systems ..................24-. l H. I. FREEDMAN AND SHIGUI RUAN (Edmonton, Canada) Hopf Bifurcation in Three-Species Food Chain Models ee So oo OUR Rea des ow 9 0d 0 0b beep 4% Fata ews 73 FREDERICK R. ADLER (Davis, California) The Effects of Averaging on the Basic Reproduction Ratio ................. 89 Horst R. THIEME (Tempe, Arizona) Epidemic and Demographic Interaction in the Spread of Potentially Fatal Diseases in Growing Populations ..................... 99 FRED GREENSITE (Orange, California) A New Method for Regularization of the Inverse Problem a a ene re er er 131 RONALD E. MICKENS AND RAQUELLE Howes (Atlanta, Georgia) Properties of the Solutions to Certain Equations Arising in the Central Core Model of the Renal Medulla....................0005. 155 S. C. Gupta, (Hisar, India), O. P. Srivastava (Montreal, Canada), AND MAHENDRA SINGH (Hisar, India) Branching Process with Emigration—A Genetic Model .................. 159 M. A. J. CHAPLAIN AND B. D. SLEEMAN (Dundee, Scotland) A Mathematical Model for the Growth and Classification of a Solid Tumor: A New Approach via Nonlinear Elasticity Theory Using Strain-Energy Functions... . 0.0... ccc ccc ccc reece cere eesene 169 WALTER HERZOG AND PAUL BINDING (Calgary, Alberta) Predictions of Antagonistic Muscular Activity Using Nonlinear Optimization ...00.. c.ree c.ece .reer. ect.ecee ces 217 WILLIAM H. E. Day (St. John’s, Newfoundland) AND F. R. McMorris (Louisville, Kentucky) Interpreting Consensus Sequences Based on Plurality Rule ................ 231 SusAN S. KENLEY (Palo Alto, California) AND CHIN LONG CHIANG AND RICHARD J. BRAND (Berkeley, California) A Two-State Recurrent Stochastic Model with Time-Dependent Transition Rates .....ce.e c.ece. ee.e e.ee .e es , Elsevier KENNETH LANGE AND FRANCISCO J. OYARZUN (Los Angeles, California) The Attractiveness of the Droop Equations... 0... cccccc c es 261 Davip SANKOFF (Montreal, Quebec) Efficient Optimal Decomposition of a Sequence into Disjoint Regions, Each Matched to Some Template in an Inventory CHENG-MING KUNG AND BASIL BALTZIS (Newark, New Jersey) The Growth of Pure and Simple Microbial Competitors in a Moving Distributed Medium