Fuzzy differential inclusions as substitutes for stochastic differential equations in population biology

1992 ◽  
Vol 1 (2) ◽  
pp. 217-232 ◽  
Author(s):  
Peter L. Antonelli ◽  
Vlastimil Křivan
Keyword(s):  
Differential Equations ◽  
Stochastic Differential Equations ◽  
Population Biology ◽  
Differential Inclusions

scholarly journals MODELLING FOOD PREFERENCES AND VIABILITY CONSTRAINTS

1995 ◽  
Vol 03 (02) ◽  
pp. 313-322
Author(s):  
ALOIS KASTNER-MARESCH ◽  
VLASTIMIL KŘIVAN
Keyword(s):  
Differential Equations ◽  
Population Biology ◽  
Differential Inclusions ◽  
Food Preferences ◽  
Limited Resource ◽  
Numerical Approach ◽  
Differential Algebraic Equations ◽  
Algebraic Equations ◽  
Two Populations ◽  
Competing Populations

Differential inclusions arising in population biology are analysed and a numerical approach to solve the corresponding initial value problems is proposed. These differential inclusions originate from optimal myopic strategies and from projecting differential equations onto a viability set. We show that such differential inclusions may piecewise be considered either as ordinary differential equations or as differential-algebraic equations with Index 2. The numerical method is based on this observation. Simulations for one population of predators feeding on two populations of prey and for a system of two competing populations whose growth is constrained by a limited resource are given.

Stochastic Differential Equations for Power Law Behaviors

2012 ◽  
Author(s):  
Bo Jiang ◽  
Roger Brockett ◽  
Weibo Gong ◽  
Don Towsley
Keyword(s):  
Differential Equations ◽  
Stochastic Differential Equations ◽  
Power Law

scholarly journals Strong Solution Existence for a Class of Degenerate Stochastic Differential Equations

2020 ◽  
Vol 53 (2) ◽  
pp. 2220-2224
Author(s):  
William M. McEneaney ◽  
Hidehiro Kaise ◽  
Peter M. Dower ◽  
Ruobing Zhao
Keyword(s):  
Differential Equations ◽  
Stochastic Differential Equations ◽  
Strong Solution ◽  
Solution Existence
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