Single species dynamics in changing environments

X. Z. He; K. Gopalsamy; B. G. Zhang

doi:10.1080/02681119408806184

Single species dynamics in changing environments

X. Z. He, K. Gopalsamy, B. G. Zhang

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

A priori bounds are obtained for positive solutions of scalar delay differential equations of the form [formula omitted] modelling single species dynamics in a temporally changing environment. Sufficient conditions are derived for the existence of periodic and almost periodic solutions when f is a periodic and almost periodic function respectively in t. Applications of our analysis enable the derivation of known results in Gopalsamy et al. (1994), Gopalsamy and Ladas (1990), Ladas and Qian (1993) and Lalli and Zhang (1994) as special cases.

Original language	English
Pages (from-to)	293-303
Number of pages	11
Journal	Dynamics and Stability of Systems
Volume	9
Issue number	4
DOIs	https://doi.org/10.1080/02681119408806184
Publication status	Published - 1 Jan 1994
Externally published	Yes

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10.1080/02681119408806184

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title = "Single species dynamics in changing environments",

abstract = "A priori bounds are obtained for positive solutions of scalar delay differential equations of the form [formula omitted] modelling single species dynamics in a temporally changing environment. Sufficient conditions are derived for the existence of periodic and almost periodic solutions when f is a periodic and almost periodic function respectively in t. Applications of our analysis enable the derivation of known results in Gopalsamy et al. (1994), Gopalsamy and Ladas (1990), Ladas and Qian (1993) and Lalli and Zhang (1994) as special cases.",

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AU - Gopalsamy, K.

AU - Zhang, B. G.

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N2 - A priori bounds are obtained for positive solutions of scalar delay differential equations of the form [formula omitted] modelling single species dynamics in a temporally changing environment. Sufficient conditions are derived for the existence of periodic and almost periodic solutions when f is a periodic and almost periodic function respectively in t. Applications of our analysis enable the derivation of known results in Gopalsamy et al. (1994), Gopalsamy and Ladas (1990), Ladas and Qian (1993) and Lalli and Zhang (1994) as special cases.

AB - A priori bounds are obtained for positive solutions of scalar delay differential equations of the form [formula omitted] modelling single species dynamics in a temporally changing environment. Sufficient conditions are derived for the existence of periodic and almost periodic solutions when f is a periodic and almost periodic function respectively in t. Applications of our analysis enable the derivation of known results in Gopalsamy et al. (1994), Gopalsamy and Ladas (1990), Ladas and Qian (1993) and Lalli and Zhang (1994) as special cases.

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DO - 10.1080/02681119408806184

M3 - Article

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SN - 0268-1110

VL - 9

SP - 293

EP - 303

JO - Dynamics and Stability of Systems

JF - Dynamics and Stability of Systems

IS - 4

ER -

Single species dynamics in changing environments

Abstract

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