Age-Structured Lotka-Volterra Equations for Multiple Semelparous Populations
نویسنده
چکیده
This paper derives a Lotka–Volterra equation with a certain symmetry from a coupled nonlinear Leslie matrix model for interacting semelparous species. The global analysis focuses on the special case where the system is composed of two species, one species having two age-classes and the other species having a single age-class. This analysis almost completely describes its global dynamics and provides examples that the age-structure changes the destiny of the system.
منابع مشابه
The Lotka-Volterra Predator-Prey Equations
One may find out the application of mathematics in the areas of ecology, biology, environmental sciences etc. Mathematics is particulary used in the problem of predator-prey known as lotka-Volterra predator-prey equations. Indeed, differential equations is employed very much in many areas of other sciences. However, most of natural problems involve some unknown functions...
متن کاملGlobal stability with selection in integro-differential Lotka-Volterra systems modelling trait-structured populations
We analyse the asymptotic behaviour of integro-differential equations modelling N populations in interaction, where interactions are modelled by non-local terms involving linear combinations of the total number of individuals in each population. These models have already been shown to be suitable for the modelling of drug resistance in cancer. They also generalise the usual Lotka-Volterra ordin...
متن کاملAdapting a Predator-Prey System to Include Age Structuring
This paper examines the process and final result of extending the basic Lotka-Volterra predator-prey model to include different age groups within each population. Basic analysis of the results were performed to determine the relevance of the proposed extension. Calculations and graphing were handled with MatLab. The natural outcome of the model should be either a periodic cycle about an equilib...
متن کاملThe Stability of Some Systems of Harvested Lotka-Volterra Predator-Prey Equations
Some scientists are interesting to study in area of harvested ecological modelling. The harvested population dynamics is more realistic than other ecological models. In the present paper, some of the Lotka-Volterra predator-prey models have been considered. In the said models, existing species are harvested by constant or variable growth rates. The behavior of their solutions has been analyzed ...
متن کاملStability and Bifurcation Analysis of Volterra Functional Equations in the Light of Suns and Stars
We show that the perturbation theory for dual semigroups (sun-star-calculus) that has proved useful for analyzing delay-differential equations is equally efficient for dealing with Volterra functional equations. In particular, we obtain both the stability and instability parts of the principle of linearized stability and the Hopf bifurcation theorem. Our results apply to situations in which the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- SIAM Journal of Applied Mathematics
دوره 71 شماره
صفحات -
تاریخ انتشار 2011