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A Mathematical Model of the Growth Patterns of Rabbits

Jean M. Tchuenche , Ishola D. Muraina


We study the behavioral growth patterns of rabbits by developing models that describes the basic dynamical features of their weight increase. Basically, we analyze this growth process using both the continuous and the discrete logistic equation, appropriately modified for the purpose. The continuous age-dependent model suggests the possibilities in which there may be increase, loss or weight gain. In the discrete case, there is a Hopf bifurcation for the maximum sustainable weight above which a chaotic dynamic occur. Also, we observed that the maximum sustainable rate at which individuals can loose weight is proportional to the intrinsic rate of weight increase. A comparison of the simulation results to real data is given,
together with the graphical representations.


Continuous/discrete model, logistic growth, Hopf bifurcation, agestructure, rabbit, maximum sustainable weight.

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