Event Summary

Event Date
Tue, 5th Nov, 2024 11:45 am To
Tue, 5th Nov, 2024 1:00 pm
Speaker
Dr Bapan Ghosh (Associate Professor, Dept. of Mathematics, IIT Indore)
Venue
Nila Campus
Event Category
Lectures
Organized by
Gopikrishnan Chirappurathu Remesan

November 2024

Sun Mon Tue Wed Thu Fri Sat
27
 
28
 
29
 
30
 
31
 
1
 
2
 
3
 
4
 
5
 
6
 
7
 
8
 
9
 
10
 
11
 
12
 
13
 
14
 
15
 
16
 
17
 
18
 
19
 
20
 
21
 
22
 
23
 
24
 
25
 
26
 
27
 
28
 
29
 
30
 

Past Events

4
Nov
2024
Lecture/Talk
Dr Bapan Ghosh (Associate Professor, Dept. of Mathematics, IIT Indore)
29
Oct
2024
Gambol - World Mental Health Day
25
Oct
2024
Pale Blue Dot - "Information design for positive social outcomes"
Prof. Rajesh Sundaresan
25
Oct
2024
Physics Department In-house Symposium 2024
View All

Lecture on mathematical ecology

Venue:   Nila 306 (11.50 AM - 1.00 PM)

Title: An introduction to mathematical ecology

Abstract.  In this teaching kind presentation, we first provide an overview of population ecology including biomass pyramid, trophic levels, bottom-up and top-down forces, etc. Then we propose Malthus and Verhulst growth model of single-species. Suddenly, we switch to discuss chemical reaction modeling and then link chemical reaction models to ecological models of interacting species. We now present Lotka-Volterra, logistic Lotka-Volterra, Rosenzweig-MacArthrur predator-prey models and their dynamics. Further, we explain Gause’s competitive exclusion principle through two different class of models. We then define Maximum Sustainable Yield (MSY) and species extinction phenomenon in multispecies fishery systems. Ecological resilience and Maximum Resilience Yield (MRY) will also be demonstrated. Finally, we discuss a paradoxical result-hydra effect in ecology.