Mathematical Models: Mechanical Vibrations, Population Dynamics, and Traffic Flow : an Introduction to Applied Mathematics |
From inside the book
Results 1-3 of 86
Page 154
Mechanical Vibrations, Population Dynamics, and Traffic Flow : an Introduction to Applied Mathematics Richard Haberman. The population at which the growth rate is zero is an equilibrium popula- tion in the sense that if the population ...
Mechanical Vibrations, Population Dynamics, and Traffic Flow : an Introduction to Applied Mathematics Richard Haberman. The population at which the growth rate is zero is an equilibrium popula- tion in the sense that if the population ...
Page 156
... equilibrium population , N = a / b , the population increases , and for populations more than the equilibrium , the population decreases . If ... Population growth near equilibrium . dN dt A 156 Population Dynamics - Mathematical Ecology.
... equilibrium population , N = a / b , the population increases , and for populations more than the equilibrium , the population decreases . If ... Population growth near equilibrium . dN dt A 156 Population Dynamics - Mathematical Ecology.
Page 188
... equilibrium population as a possible population of both species such that both populations will not vary in time . The births and deaths of species N1 must balance , and similarly those of N2 must balance . Thus an equilibrium population ...
... equilibrium population as a possible population of both species such that both populations will not vary in time . The births and deaths of species N1 must balance , and similarly those of N2 must balance . Thus an equilibrium population ...
Contents
NEWTONS | 6 |
OSCILLATION OF A SPRINGMASS SYSTEM | 12 |
QUALITATIVE AND QUANTITATIVE BEHAVIOR | 18 |
Copyright | |
72 other sections not shown
Other editions - View all
Mathematical Models: Mechanical Vibrations, Population Dynamics, and Traffic ... Richard Haberman No preview available - 1998 |
Common terms and phrases
amplitude of oscillation analyze approximation Assume birth c₁ calculation characteristics Consider constant coefficient corresponding d2x dt2 damping de/dt decreases delay depend derived determine difference equation discussed dx dt dx/dt energy integral equilibrium population equilibrium solution equivalent example exercise exponential Figure formula function growth rate Hint increases initial conditions initial value problem isoclines linearized stability analysis logistic equation mass mathematical model maximum method of characteristics motion moving N₁ Newton's nonlinear pendulum number of cars obtained occur ordinary differential equations oscillation P₁ partial differential equation period phase plane Pmax population growth potential energy r₁ result sharks shock Show shown in Fig simple harmonic motion Sketch the solution sketched in Fig slope solution curves solve species spring spring-mass system stable straight line Suppose Taylor series tion traffic flow trajectories Umax unstable equilibrium position variables vector x₁ yields zero