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Seasonal Variation of Carrying Capacity on Diseased Model Can Cause Species Extinction

 

International Journal of Chaos, Control, Modelling and Simulation (IJCCMS)

The International Journal of Chaos, Control, Modelling and Simulation (IJCCMS) highlights research in chaos theory, control engineering, mathematical modelling, dynamical systems, and simulation methods.

These fields contribute to understanding complex systems, analysing nonlinear behaviour, developing control strategies, and improving computational models.

Journal information

Researchers and academic professionals can visit the journal webpage to explore further information.

#IJCCMS #ChaosTheory #ControlSystems #Simulation #MathematicalModelling #Research


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SEASONAL VARIATION OF CARRYING CAPACITY ON DISEASED MODEL CAN CAUSE SPECIES EXTINCTION Prodip Roy1, Banshidhar Sahoo2, and Swarup Poria3 1,2,3 Department of Mathematics, Mahadevananda Mahavidyalaya, Kolkata-120, India. ABSTRACT Most natural populations experience fluctuations in biological and environmental factors which causes carrying capacity variation. In this paper, we have introduced a diseased prey-predator model with periodically varying carrying capacity. We have studied the effects of different amplitudes of oscillation as well as different frequencies of oscillation on the dynamics of the model. We have done bifurcation analysis of the model with respect to the amplitude of oscillation and frequency of oscillation of the carrying capacity. We observe limit cycle, low periodic orbits, high periodic orbits and chaos in the model. We observe the existence of critical frequency and amplitude of oscillation of carrying capacity for which the prey population ex...
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