Stability in terms of two measures for population growth models with impulsive perturbations

2020 ◽  
Vol 13 (06) ◽  
pp. 2050051
Author(s):  
Zhinan Xia ◽  
Qianlian Wu ◽  
Dingjiang Wang
Keyword(s):  
Differential Equations ◽  
Population Growth ◽  
Ordinary Differential Equations ◽  
Trivial Solution ◽  
Growth Models ◽  
Two Measures ◽  
Impulsive Perturbations ◽  
The Stability ◽  
Generalized Ordinary Differential Equations ◽  
Population Growth Models

In this paper, we establish some criteria for the stability of trivial solution of population growth models with impulsive perturbations. The working tools are based on the theory of generalized ordinary differential equations. Here, the conditions concerning the functions are more general than the classical ones.

Further Discussion on Population Growth Models by Stochastic Differential Equations

2013 ◽  
Vol 705 ◽  
pp. 499-503 ◽  
Author(s):  
Fei Yang ◽  
Liang Di Zhang ◽  
Jing Fang Shen
Keyword(s):  
Differential Equations ◽  
Population Growth ◽  
Stochastic Differential Equations ◽  
Real World ◽  
Growth Models ◽  
The Real ◽  
Simplifying Assumptions ◽  
Advanced Model ◽  
Real World Situation ◽  
Population Growth Models

Malthusian population growth model is not applicable to the real world situation in most cases, since the simplifying assumptions are too ideal. In this article, we will generalize the classic population growth models by Stochastic differential equations, and get the extended models appealed to the real world better as well. When modeling the environmental perturbation by white noise process, we get an advanced model .

scholarly journals On the solvability of the modified Cauchy problem for linear systems of generalized ordinary differential equations with singularities

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Malkhaz Ashordia ◽  
Inga Gabisonia ◽  
Mzia Talakhadze
Keyword(s):  
Cauchy Problem ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Linear Systems ◽  
Unique Solvability ◽  
Sufficient Conditions ◽  
The Cauchy Problem ◽  
Generalized Ordinary Differential Equations

AbstractEffective sufficient conditions are given for the unique solvability of the Cauchy problem for linear systems of generalized ordinary differential equations with singularities.

scholarly journals The Mean Stability Criteria in terms of Two Measures for Stochastic Differential Equations with Coefficient’s Uncertainty

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Rui Zhang ◽  
Yinjing Guo ◽  
Xiangrong Wang ◽  
Xueqing Zhang
Keyword(s):  
Optimal Control ◽  
Differential Equations ◽  
Stochastic Differential Equations ◽  
Stochastic Stability ◽  
Stochastic Systems ◽  
Stability Criteria ◽  
Two Measures ◽  
The Mean ◽  
The Stability

This paper extends the stochastic stability criteria of two measures to the mean stability and proves the stability criteria for a kind of stochastic Itô’s systems. Moreover, by applying optimal control approaches, the mean stability criteria in terms of two measures are also obtained for the stochastic systems with coefficient’s uncertainty.

Generalized Ordinary Differential Equations

2021 ◽  
pp. 145-171
Author(s):  
Everaldo M. Bonotto ◽  
Márcia Federson ◽  
Jaqueline G. Mesquita
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Generalized Ordinary Differential Equations
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