scholarly journals On a Periodic Time-Dependent Model of Population Dynamics with Stage Structure and Impulsive Effects

2008 ◽  
Vol 2008 ◽  
pp. 1-15 ◽  
Author(s):  
Kaiyuan Liu ◽  
Lansun Chen
Keyword(s):  
Necessary Conditions ◽  
Stage Structure ◽  
Time Dependent ◽  
Predator Prey ◽  
Prey System ◽  
Sufficient And Necessary Conditions ◽  
Dependent Model ◽  
Two Stages ◽  
Time Dependent Model ◽  
Impulsive Harvesting

We consider a periodic time-dependent predator-prey system with stage structure and impulsive harvesting, in which the prey has a life history that takes them through two stages, immature and mature. A set of sufficient and necessary conditions which guarantee the permanence of the system are obtained. Finally, we give a brief discussion of our results.

scholarly journals On a Periodic Predator-Prey System with Holling III Functional Response and Stage Structure for Prey

2010 ◽  
Vol 2010 ◽  
pp. 1-12
Author(s):  
Xiangzeng Kong ◽  
Zhiqin Chen ◽  
Li Xu ◽  
Wensheng Yang
Keyword(s):  
Functional Response ◽  
Prey Species ◽  
Necessary Conditions ◽  
Stage Structure ◽  
Predator Prey ◽  
Prey System ◽  
Sufficient And Necessary Conditions ◽  
Holling Iii Functional Response

We propose and study the permanence of the following periodic Holling III predator-prey system with stage structure for prey and both two predators which consume immature prey. Sufficient and necessary conditions which guarantee the predator and the prey species to be permanent are obtained.

scholarly journals Permanence of Periodic Predator-Prey System with Functional Responses and Stage Structure for Prey

2008 ◽  
Vol 2008 ◽  
pp. 1-15 ◽  
Author(s):  
Can-Yun Huang ◽  
Min Zhao ◽  
Hai-Feng Huo
Keyword(s):  
Functional Response ◽  
Prey Species ◽  
Necessary Conditions ◽  
Stage Structure ◽  
Functional Responses ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey System ◽  
Sufficient And Necessary Conditions ◽  
Holling Ii Functional Response

A stage-structured three-species predator-prey model with Beddington-DeAngelis and Holling II functional response is introduced. Based on the comparison theorem, sufficient and necessary conditions which guarantee the predator and the prey species to be permanent are obtained. An example is also presented to illustrate our main results.

scholarly journals The Dynamics of an Impulsive Predator-Prey System with Stage Structure and Holling Type III Functional Response

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Zhixiang Ju ◽  
Yuanfu Shao ◽  
Xiaolan Xie ◽  
Xiangmin Ma ◽  
Xianjia Fang
Keyword(s):  
Functional Response ◽  
Global Attractivity ◽  
Stage Structure ◽  
Biological Resource ◽  
Predator Prey ◽  
Analysis Techniques ◽  
Type Iii ◽  
Predator Prey Model ◽  
Prey System ◽  
Impulsive Harvesting

Based on the biological resource management of natural resources, a stage-structured predator-prey model with Holling type III functional response, birth pulse, and impulsive harvesting at different moments is proposed in this paper. By applying comparison theorem and some analysis techniques, the global attractivity of predator-extinction periodic solution and the permanence of this system are studied. At last, examples and numerical simulations are given to verify the validity of the main results.

GLOBAL STABILITY OF A STAGE-STRUCTURED PREDATOR-PREY SYSTEM

2008 ◽  
Vol 01 (03) ◽  
pp. 313-326 ◽  
Author(s):  
XINYU SONG ◽  
HONGJIAN GUO
Keyword(s):  
Time Delay ◽  
Functional Differential Equations ◽  
Stage Structure ◽  
Immature Stage ◽  
Mature Stage ◽  
Predator Prey ◽  
Oscillatory Dynamics ◽  
Prey System ◽  
Functional Differential ◽  
Two Stages

In this paper, we consider a predator-prey system with stage structure. The populations have two stages, an immature stage and a mature stage, the age to maturity is represented by a time delay, which leads to systems of retarded functional differential equations. We obtain the conditions for global asymptotic stability of two nonnegative equilibria of this system. The numerical simulation suggests that time delay has both oscillatory dynamics and stabilizing effects.

ON A PERIODIC TIME-DEPENDENT IMPULSIVE SYSTEM OF STRATEGIES FOR CONTROLLING THE APPLE SNAIL IN PADDY FIELDS

2007 ◽  
Vol 15 (03) ◽  
pp. 397-408 ◽  
Author(s):  
HONG ZHANG ◽  
RONGPING ZHU ◽  
LANSUN CHEN
Keyword(s):  
Impulsive System ◽  
Paddy Fields ◽  
Necessary Condition ◽  
Apple Snail ◽  
Rice Seedlings ◽  
Predator Prey ◽  
Prey System ◽  
Two Stages ◽  
Sufficient And Necessary Condition ◽  
Impulsive Harvesting

This paper deals with a periodic coefficients predator-prey system with impulsive harvesting for the predator, in which the prey has a history that takes them through two stages, juvenile and adult. We apply this system to model strategies for controlling apple snails which are serious pests of young rice seedlings in paddy fields. A sufficient and necessary condition to guarantee permanence of the system is provided. Finally, we give a brief discussion of our result.

A time-dependent model for high-pressure discharges in narrow ablative capillaries

1993 ◽  
Vol 50 (1) ◽  
pp. 51-70 ◽  
Author(s):  
D. Zoler ◽  
S. Cuperman ◽  
J. Ashkenazy ◽  
M. Caner ◽  
Z. Kaplan
Keyword(s):  
High Pressure ◽  
Equation Of State ◽  
Time Dependent ◽  
Dimensional Model ◽  
Plasma Sources ◽  
One Dimensional ◽  
Space And Time ◽  
Dependent Model ◽  
Energy Equations ◽  
Time Dependent Model

A time-dependent quasi-one-dimensional model is developed for studying high- pressure discharges in ablative capillaries used, for example, as plasma sources in electrothermal launchers. The main features of the model are (i) consideration of ablation effects in each of the continuity, momentum and energy equations; (ii) use of a non-ideal equation of state; and (iii) consideration of space- and time-dependent ionization.

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