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...
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The study of differential equations is useful in to analyze the possible past or future with help of present information. In this paper, the behavior of solutions has been analyzed around the equilibrium points for Gause model. Finally, some results are worked out to exist the stable periodic orbit for mentioned predator-prey system.
متن کاملPrey-predator modeling of CO2 atmospheric concentration
In this work we propose a mathematical model, based in a modified version of the Lotka-Volterra prey-predator equations, to predict the increasing in CO2 atmospheric concentration. We consider how the photosynthesis rate has changed with the increase of CO2 and how this affects plant reproduction and CO2 absorptions rates. Total CO2 emissions (natural and manmade) and biomass numerical paramete...
متن کاملLIMITED GROWTH PREY MODEL AND PREDATOR MODEL USING HARVESTING
In this paper, we have proposed a study on controllability and optimal harvestingof a prey predator model and mathematical non linear formation of the equation equilibriumpoint of Routh harvest stability analysis. The problem of determining the optimal harvestpolicy is solved by invoking Pontryagin0s maximum principle dynamic optimization of theharvest policy is studied by taking the combined h...
متن کاملPredator – Prey Relationships 933 P Predator – Prey Relationships
Most marine mammals are predators, but some are also preyed upon by other species. Theoretically, the interaction between marine mammals and their prey infl uences the structure and dynamics of marine ecosystems. Similarly, predators and prey have shaped each other’s behaviors, physiologies, morphologies, and life-history strategies. However, there is little empirical evidence of these infl uen...
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ژورنال
عنوان ژورنال: Undergraduate Journal of Mathematical Modeling: One + Two
سال: 2013
ISSN: 2326-3652
DOI: 10.5038/2326-3652.3.1.32