Asymptotic behavior of discrete-time semigroups of sublinear, strongly increasing mappings with applications to biology

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Cited by (52)

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    Citation Excerpt :

    The second type is possessing a first integral or invariant function with positive gradient, which was investigated by Mierczyński [25], Tang, Kuang and Smith [26], Jiang [12,27], Shen and Zhao [28], Nakajima [29] in ordinary differential equations; Takáč [30] for partial differential equations and Arino [31,32], Jiang and Zhao [24], Krisztin and Wu [33,34] and Wu [35,36] for functional differential equations. The third type is sublinearity, which was studied in [37,38,24,39–43]. The fourth type is minimal equilibria, introduced by Wu [44] and Haddock, Nkashama and Wu [45].

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This research was supported in part by the National Science Foundation under the grant DMS-8802646.

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