International Journal of Chaos, Control, Modelling and Simulation

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 extinct. Through bifurcation analysis, we observe oscillatory coexistence of species in the model. Our results confirm that amplitude and frequency of oscillation of carrying capacity are key parameters together with the force of infection and body size of intermediate predator in a diseased prey-predator model.

KEYWORDS:

Limit cycle, Period-2 orbit, Period-3 orbit, Chaos, Bifurcation.

http://airccse.org/journal/ijccms/current.html

Comments

2nd International Conference on Information Technology, Control and Automation (ITCAU 2024)

Submit your Research Article!!! 2nd International Conference on Information Technology, Control and Automation (ITCAU 2024) December 28 ~ 29, 2024, Dubai, UAE Webpage URL: https://csitai2024.org/itcau/index Hybrid -- Registered authors can present their work online or face to face Authors are invited to submit papers through the conference Submission System by November 09, 2024. Submission URL: https://csitai2024.org/submission/index.php Contact Us Here's where you can reach us : itcau@csitai2024.org or itcau_conf@yahoo.com #informationtechnology #control #automation #aialgorithms #artificialintelligence #artificialintelligencetoolsapplications #simulation #controltheory #adaptivecontrol #computervision #uaeconference #dubaiconference #phdresearchpapers #indexedconference #decembermonthconference #hybridconference #robotics #conferencesubmission #phdscholar #researchpapers #csitproceedings

PERFORMANCE COMPARISON OF TWO CONTROLLERS ON A NONLINEAR SYSTEM

PERFORMANCE COMPARISON OF TWO CONTROLLERS ON A NONLINEAR SYSTEM Kenneth O.M. Mapoka1,Dr Tranos Zuva2,Howard Masebu3 and Keneilwe Zuva4 1,3,4 Department of Agricultural Engineering and Land Planning, Botswana College of Agriculture, Gaborone, Botswana 2Department of Computer Science, University of Tshwane, Pretoria, South Africa ABSTRACT Various systems and instrumentation use auto tuning techniques in their operations. For example, audio processors, designed to control pitch in vocal and instrumental operations. The main aim of auto tuning is to conceal off-key errors, and allowing artists to perform genuinely despite slight deviation off-key. In this paper two Auto tuning control strategies are proposed. These are Proportional, Integral and Derivative (PID) control and Model Predictive Control (MPC). The PID and MPC controller’s algorithms amalgamate the auto tuning method. These control strategies ascertains stability, effective and efficient performance on ...

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

International Journal of Chaos, Control, Modeling and Simulation (IJCCMS) ISSN: 2319 - 5398 [Online]; 2319 - 8990 [Print] http://airccse.org/journal/ijccms/index.html Aims and Scope The International Journal of Chaos, Control, Modeling and Simulation is a bi-monthly open access peer-reviewed journal that publishes articles which contribute new results in all areas of Chaos Theory, Control Systems, Scientific Modeling and Computer Simulation. In the last few decades, chaos theory has found important applications in secure communication devices and secure data encryption. Control methods are very useful in several applied areas like Chaos, Automation, Communication, Robotics, Power Systems, and Biomedical Instrumentation. The journal focuses on all technical and practical aspects of Chaos, Control, Modeling and Simulation. The goal of this journal is to bring together researchers and practitioners from academia ...