Models of discrete-time population growth
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The models we have considered in the previous chapters are embedded in a continuous representation of the processes we study. Namely, both variables, time t and abundance N(t), are real valued and are allowed to take any value. Use of continuous models lets us take advantage of the tools provided by calculus and, moreover, such a framework belongs to the traditional approach to modeling physical phenomena. However, since the 1970's, discrete time modeling has attracted more and more attention in population biology, because it seems to be natural in this context. In fact, population processes often occur through events concentrated in short time intervals (synchronized seasonal reproduction, egg deposition … ) and available data almost always consist in yearly (or obtained at other regular intervals) counts.
KeywordsPeriodic Solution Reproduction Number Positive Equilibrium Basic Reproduction Number Trivial Equilibrium
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