Lotka Volterra Model Calculator
Simulate an entered ideal predator–prey model with fixed-step fourth-order Runge–Kutta integration.
YOUR CALCULATION
Result
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Calculation steps
Work through one step at a time or reveal the complete calculation. The steps use your current inputs.
How to calculate
Advance the two coupled model states together with four RK stages per step.
dx/dt=ax−bxy; dy/dt=dxy−cy
Worked example
The equilibrium x=c/d,y=a/b remains constant when entered as the initial state.
Assumptions and input details
Ideal continuous populations and constant entered coefficients, not ecological prediction. Numerical states must remain finite and positive. Fixed-step error is not automatically bounded; compare step refinement and the displayed conserved-quantity drift.
Using this calculator
Can I enter my own problem?
Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.
Are the results exact?
Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.
Is my input uploaded?
The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.
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