Abstract
Berwald connections with constant coefficients in two-dimensional Finsler spaces are important in the ecology of colonial organisms and also in the epidemiology of myxomatosis, the European wild rabbit disease. Because of the well-known results in the Riemannian case, only conformally flat or projectively flat Finsler spaces of constant-Berwald type are considered here. Complete classifications are given of the possible metric functions and their geodesics. New results on the myxomatosis model of Antonelli and Seymour modified to account for host/parasite ratio effects are discussed briefly in the final section.
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