Abstract
Dynamical characteristics of an integrodifferential system modelling two species competition with hereditary effects are investigated; in particular we derive sufficient conditions for the persistence of the species, existence of an attracting periodic solution and ‘level-crossings’ of solutions about the periodic solution.
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Supported by an OPRS fellowship from Flinders University
Partially supported by the Australian Research Council, Grant M67G15340110
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He, X.Z., Gopalsamy, K. Persistence, stability and level crossings in an integrodifferential system. J. Math. Biol. 32, 395–426 (1994). https://doi.org/10.1007/BF00160166
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DOI: https://doi.org/10.1007/BF00160166