Continuous "Resource-Consumer" Population Model with Age Structure

Author(s):  
Fatimat Kh. Kudayeva ◽  
Arslan A. Kaygermazov ◽  
Aslan Kh. Zhemukhov ◽  
Diana A. Khashkhozheva
2014 ◽  
Vol 644-650 ◽  
pp. 5498-5504
Author(s):  
Tian Jiu Leng ◽  
Tai Xiang

Through improving the Logistic population model, this paper sets a linear relationship between the net growth rate of the population and time, gets a differential model for predicting the future population, and uses Markov chain for predicting the age structure of the population in China


2017 ◽  
Vol 60 (2) ◽  
pp. 436-448 ◽  
Author(s):  
Peixuan Weng ◽  
Li Liu

AbstractWe study a population model with nonlocal diòusion, which is a delayed integro-diòerential equation with double nonlinearity and two integrable kernels. By comparison method and analytical technique, we obtain globally asymptotic stability of the zero solution and the positive equilibrium. The results obtained reveal that the globally asymptotic stability only depends on the property of nonlinearity. As an application, we discuss an example for a population model with age structure.


2017 ◽  
Vol 33 (2) ◽  
pp. 853-858 ◽  
Author(s):  
Yuhong Sheng ◽  
Rong Gao ◽  
Zhiqiang Zhang

2007 ◽  
Vol 8 (3) ◽  
pp. 887-902 ◽  
Author(s):  
Caterina Cusulin ◽  
Mimmo Iannelli ◽  
Gabriela Marinoschi

1977 ◽  
Vol 55 (8) ◽  
pp. 1312-1323 ◽  
Author(s):  
T. Burnett

A biological model of predation was developed using granular food held in closely packed screen trays to propagate the grain mite, Acarus Siro L., and two of its predators, Blattisocius dentriticus (Berl.) and Cheyletus eruditus (Schrank). Both predators limited prey abundance. Cannibalism among predators, particularly C. eruditus, was an important factor in ensuring the survival of the prey and predator populations. Cheyletus eruditus eliminated B. dentriticus when the two species were propagated in the same experimental universe. Cyclicity and dispersion of the interacting species appeared to result more from the initial age structure and from dispersion of the prey than from predator attack. A population model was used to assess the relative importance of the population components of A. siro and C. eruditus in the simplified predator–prey interactions.


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