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"