scholarly journals A numerical method for a nonlinear structured population model with an indefinite growth rate coupled with the environment

2019 ◽  
Vol 35 (6) ◽  
pp. 2348-2374
Author(s):  
Azmy S. Ackleh ◽  
Robert L. Miller
Keyword(s):  
Growth Rate ◽  
Numerical Method ◽  
Population Model ◽  
Structured Population Model ◽  
Structured Population

scholarly journals Evolution of reproductive strategies in incipient multicellularity

2021 ◽  
Author(s):  
Yuanxiao Gao ◽  
Yuriy Pichugin ◽  
Chaitanya S. Gokhale ◽  
Arne Traulsen
Keyword(s):  
Growth Rate ◽  
Population Model ◽  
Reproductive Strategies ◽  
Large Degree ◽  
Cellular Interaction ◽  
Structured Population Model ◽  
Structured Population ◽  
Binary Splitting ◽  
Evolutionary Growth ◽  
Multicellular Organisms

AbstractMulticellular organisms can potentially show a large degree of diversity in reproductive strategies, as they could reproduce offspring with varying sizes and compositions compared to their unicellular ancestors. In reality, only a few of these reproductive strategies are prevalent. To understand why this could be the case, we develop a stage-structured population model to probe the evolutionary growth advantages of reproductive strategies in incipient multicellular organisms. The performance of reproductive strategies is evaluated by the growth rates of corresponding populations. We identify the optimal reproductive strategy, which leads to the largest growth rate for a population. Considering the effects of organism size and cellular interaction, we found that distinct reproductive strategies could perform uniquely or equally well under different conditions. Only binary-splitting reproductive strategies can be uniquely optimal. Our results show that organism size and cellular interaction can play crucial roles in shaping reproductive strategies in nascent multicellularity. Our model sheds light on understanding the mechanism driving the evolution of reproductive strategies in incipient multicellularity. Meanwhile, beyond multicellularity, our results imply a crucial factor in the evolution of reproductive strategies of unicellular species - organism size.

scholarly journals Sensitivity equations for a size-structured population model

2009 ◽  
Vol 67 (4) ◽  
pp. 627-660 ◽  
Author(s):  
H. T. Banks ◽  
Stacey L. Ernstberger ◽  
Shuhua Hu
Keyword(s):  
Population Model ◽  
Structured Population Model ◽  
Structured Population ◽  
Sensitivity Equations
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