Periodicity for a Food Chain Model with Functional Responses on Time Scales
نویسنده
چکیده
With the help of coincidence degree theory, sufficient conditions for existence of periodic solutions for a food chain model with functional responses on time scales are established. Keywords—time scales, food chain model, coincidence degree, periodic solutions.
منابع مشابه
Existence of Periodic Solutions in a Food Chain Model with Holling–type II Functional Response
In this paper, a food chain model with Holling type II functional response on time scales is investigated. By using the Mawhin’s continuation theorem in coincidence degree theory, sufficient conditions for existence of periodic solutions are obtained. Keywords—Periodic solutions; food chain model; coincidence degree; time scales.
متن کاملPermanence and Uniformly Asymptotic Stability of Almost Periodic Positive Solutions for a Dynamic Commensalism Model on Time Scales
In this paper, we study dynamic commensalism model with nonmonotic functional response, density dependent birth rates on time scales and derive sufficient conditions for the permanence. We also establish the existence and uniform asymptotic stability of unique almost periodic positive solution of the model by using Lyapunov functional method.
متن کاملDynamics of Food Chain Model: Role of Alternative Resource for Top Predator
In this paper, effect of alternative resource for top predator in food chain model with holling type III functional response is seen . Proposed model is demonstrated in respect of analytical as well numerical results. Bifurcation study with the variation of alternative resource and half saturation constants are done numerically. Simulation results shows that suitable alternati...
متن کاملColour Emotion Models, CIELAB Colour Coordinates, and Iranian Emotional Responses
Ten colour emotional scales, namely, "Warm Cool", "Active-Passive", "Like-Dislike", "Clean-Dirty", "Fresh-Stale", "Modern-Classical", "Heavy-Light", "Hard- Soft", "Tense-Relaxed", and "Masculine-Feminine"are investigated for single-colour stimuli in CIELAB colour space within a psychophysical experiment by forty observers. The relationships between Iranian colour emotional responses and CIELAB ...
متن کاملAn Analysis on The Lotka-Volterra Food Chain Model: Stability
The food chain refers to a natural system by which energy is transmitted from one organism to another. In fact, a food chain consists of producers, consumers and decomposition. Presence of complex food web increase the stability of the ecosystem. Classical food chain theory arises from Lotka-Volterra model. In the present paper, the dynamics behavior of three level food chain is studied. A syst...
متن کامل