Abstract.
In this paper, we consider population survival by using single-species stage-structured models. As a criterion of population survival, we employ the mathematical notation of permanence. Permanence of stage-structured models has already been studied by Cushing (1998). We generalize his result of permanence, and obtain a condition which guarantees that population survives. The condition is applicable to a wide class of stage-structured models. In particular, we apply our results to the Neubert-Caswell model, which is a typical stage-structured model, and obtain a condition for population survival of the model.
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The research is partially supported by the Ministry of Education, Science and Culture, Japan, under Grant in Aid for Scientific Research (A) 13304006.
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Kon, R., Saito, Y. & Takeuchi, Y. Permanence of single-species stage-structured models. J. Math. Biol. 48, 515–528 (2004). https://doi.org/10.1007/s00285-003-0239-1
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DOI: https://doi.org/10.1007/s00285-003-0239-1