An anticipatory extension of Malthusian model

Date

2005-08-13

Author

Akhmet, Marat
Öktem, Hüseyin Avni

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In this paper, on the base of a new variable - deviation of population from an average value, we propose a new extension of the Malthusian model (see equations (10), (15) and (20)) using differential equations with piecewise constant argument which can be retarded as well as advanced. We study existence of periodic solutions and stability of the equations by method of reduction to discrete equations [4]. Equations (15) and (20) with advanced argument are systems with strong anticipation [6, 7]. Moreover, we obtain a new interpretation of known results for differential equations with piecewise constant argument (6) and (8).

Subject Keywords

Malthusian model, Strong anticipation, Stability, Piecewise constant argument

URI

https://hdl.handle.net/11511/52725

Collections

Department of Mathematics, Conference / Seminar

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Citation Formats

M. Akhmet and H. A. Öktem, “An anticipatory extension of Malthusian model,” 2005, vol. 839, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52725.