In this talk, we will discuss how the ideal free distribution (IFD) arises in the context of a partially migrating population using a stage-structured matrix model. Partial migration is a unique form of phenotypic diversity wherein migrant and non-migrant individuals coexist together. We show that the ideal free distribution is evolutionary stable in a global sense, assuming that both migrants and non-migrants experience density dependent competition with each other during reproduction. We also establish that the partially migrating species satisfies a dichotomy: Either both morphs have the same fitness, a scenario that corresponds to an IFD. Or, one morph has a higher fitness than the other. Evolutionary process however, will drive the population to the IFD.
Contributed Talk Session - CT02
Monday, June 14 at 10:30pm (PDT)Tuesday, June 15 at 06:30am (BST)Tuesday, June 15 02:30pm (KST)
Contributed Talk Session - CT02
CT02-CBBS: CBBS Subgroup Contributed Talks
- Anushaya Mohapatra BITS, Pilani, Goa Campus, India "The ideal free distribution and the evolution of partial migration"
- Debasmita Mukherjee Sunandan Divatia School of Science, SVKM's NMIMS Deemed to be University, Mumbai, India "Atherosclerosis: A Mathematical Model for Early Prognosis"
- Michael Getz Indiana University, Bloomington "Continuum to Discrete event modeling within PhysiCell"
- Raneem Aizouk City, university of London "Modelling conflicting individual preferences: target sequence and graph realization"
CT02-CDEV: CDEV Subgroup Contributed Talks
- Stephen Zhang University of British Columbia "Learning cell state dynamics from noisy time-series data using optimal transport"
- Joshua Forrest University of Melbourne "Energy based modelling of bacterial signalling systems"
- Nishtha Pandey Center for Computational Natural Sciences and Bioinformatics, International Institute of Information Technology - Hyderabad, India "Mathematical modelling of neuronal cell cycle re-entry in Alzheimer's disease"
- Domenic Germano The University of Melbourne "Towards a realistic 3D deformable model of dynamic tissues"
CT02-ECOP: ECOP Subgroup Contributed Talks
- William (Bill) Sherwin EERC, BEES. UNSW Sydney Australia "Can Bray-Curtis differentiation be meaningful in Molecular Ecology?"
- Tanveen Kaur Randhawa Indian Institute of Science, Bangalore "Role of trait variation in the dynamics of savanna-forest bistable system"
- Ryo Oizumi National Institute of Population and Social Security Research "Sensitivity Analysis of The Declining Population: Effects of Prefecture Specific Fertility and Interregional Migration"
- Nurdan Cabukoglu University of Wolverhampton "Kinesis movement impact on travelling waves"
CT02-EDUC: EDUC Subgroup Contributed Talks
- Aneequa Sundus Indiana University, Bloomington "PhysiCell Training Apps: Cloud hosted open-source apps to explore different modules of agent-based multicellular simulations"
- Chonilo S. Saldon Zamboanga del Norte National High School, Philippines "Remodeling students' attitudes and performance in Calculus through the use of Biomathematics modules"
CT02-MEPI: MEPI Subgroup Contributed Talks
- Beryl Musundi Technical University of Munich "An immuno-epidemiological model linking within-host and between-host dynamics of cholera"
- Josephine Tetteh Goethe University "Modelling Therapy Scheduling Based on the Collateral Susceptibility of Drugs"
- Dana Kleimeier Institut for Bioinformatics, University Medicine Greifswald "Mathematical modeling of 1-MT-induced production of the ant-inflammatory metabolite KYNA in pigs"
- Louise Dyson University of Warwick "SARS-CoV-2 variants and potential escape from vaccine-derived and pre-existing immunity"
CT02-MFBM: MFBM Subgroup Contributed Talks
- Yifei Li Queensland University of Technology "Travelling waves in nonlinear reaction-diffusion equations"
- Juan Carlo Flores Mallari Ateneo de Manila University, Nara Institute of Science and Technology "Modeling Collective Behavior of Passengers Boarding and Disembarking from Public Transport in the Philippines"
- Leo Diaz University of Melbourne "Hypergraphs as a tool for automated and reproducible modelling of biochemical systems"
- Shawn Means Massey University "A Permutation Method to Assemble Networks"
CT02-MMPB: MMPB Subgroup Contributed Talks
- Jonathan Miller University of Dundee "Modelling firing characteristics of T6SS"
- Divyoj Singh Indian Institute of Science "Continuum model for Planar cell polarity"
- Ushasi Roy Indian Institute of Science Bangalore, India "Does intermediate intercellular adhesion leads to faster migration of a multicellular cluster?"
- Tsuyoshi Mizuguchi Osaka Prefecture University "Inhomogeneity of Japanese name distribution"
CT02-ONCO: ONCO Subgroup Contributed Talks
- Sabrina Neumaier Technical University of Munich "Introduction of an environmental stress level to model tumor cell growth and survival"
- Mohit Kumar Jolly Indian Institute of Science "Topological signatures in regulatory network enable phenotypic heterogeneity in small cell lung cancer"
- Meghan Rhodes University of Alberta "Comparing the effects of linear and one-term Ogden elasticity in a model of glioblastoma invasion."
- Matthias M. Fischer Charite Universitaetsmedizin Berlin, Institut fuer Pathologie; IRI Life Sciences, Humboldt University, Berlin, Germany "Mathematical modelling of colon epithelium population dynamics reveals conditions for maintaining tissue homoeostasis"