Literature DB >> 2134483

A time-delay model of single-species growth with stage structure.

W G Aiello1, H I Freedman.   

Abstract

A single-species growth model with stage structure consisting of immature and mature stages is developed using a discrete time delay. It is shown that under suitable hypotheses there exists a globally asymptotically stable positive equilibrium. Questions concerning oscillation and nonoscillation of solutions are addressed analytically and numerically. The effect of the delay on the populations at equilibrium is also considered.

Mesh:

Year:  1990        PMID: 2134483     DOI: 10.1016/0025-5564(90)90019-u

Source DB:  PubMed          Journal:  Math Biosci        ISSN: 0025-5564            Impact factor:   2.144


  10 in total

Review 1.  A stage structured predator-prey model and its dependence on maturation delay and death rate.

Authors:  Stephen A Gourley; Yang Kuang
Journal:  J Math Biol       Date:  2004-05-31       Impact factor: 2.259

2.  The effect of seasonal harvesting on stage-structured population models.

Authors:  Sanyi Tang; Lansun Chen
Journal:  J Math Biol       Date:  2003-10-27       Impact factor: 2.259

3.  A glycemia-structured population model.

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Journal:  J Math Biol       Date:  2015-10-06       Impact factor: 2.259

4.  State-dependent neutral delay equations from population dynamics.

Authors:  M V Barbarossa; K P Hadeler; C Kuttler
Journal:  J Math Biol       Date:  2014-08-13       Impact factor: 2.259

5.  A time delay predator-prey system with three-stage-structure.

Authors:  Qiaoqin Gao; Zhen Jin
Journal:  ScientificWorldJournal       Date:  2014-03-27

6.  A new multi-step technique with differential transform method for analytical solution of some nonlinear variable delay differential equations.

Authors:  Brahim Benhammouda; Hector Vazquez-Leal
Journal:  Springerplus       Date:  2016-10-06

7.  Effects of Vector Maturation Time on the Dynamics of Cassava Mosaic Disease.

Authors:  F Al Basir; Y N Kyrychko; K B Blyuss; S Ray
Journal:  Bull Math Biol       Date:  2021-06-28       Impact factor: 1.758

8.  Stability and Hopf Bifurcation Analysis of an Epidemic Model with Time Delay.

Authors:  Yue Zhang; Xue Li; Xianghua Zhang; Guisheng Yin
Journal:  Comput Math Methods Med       Date:  2021-07-01       Impact factor: 2.238

9.  Non-linear analysis indicates chaotic dynamics and reduced resilience in model-based Daphnia populations exposed to environmental stress.

Authors:  Richard Ottermanns; Kerstin Szonn; Thomas G Preuβ; Martina Roβ-Nickoll
Journal:  PLoS One       Date:  2014-05-08       Impact factor: 3.240

10.  Mathematical analysis of a nutrient-plankton system with delay.

Authors:  Mehbuba Rehim; Zhenzhen Zhang; Ahmadjan Muhammadhaji
Journal:  Springerplus       Date:  2016-07-11
  10 in total

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