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# JumpProcesses.jl
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[](https://julialang.zulipchat.com/#narrow/stream/279055-sciml-bridged)
[see the stable documentation](http://jump.sciml.ai/stable/). Use the
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[in-development documentation](http://jump.sciml.ai/dev/) for the version of
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[see the stable documentation](https://docs.sciml.ai/JumpProcesses/stable/). Use the
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[in-development documentation](https://docs.sciml.ai/JumpProcesses/dev/) for the version of
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the documentation, which contains the unreleased features.
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The documentation includes
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-[a tutorial on simulating basic Poisson processes](https://jump.sciml.ai/stable/tutorials/simple_poisson_process/)
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-[a tutorial and details on using JumpProcesses to simulate jump processes via SSAs (i.e. Gillespie methods)](https://jump.sciml.ai/stable/tutorials/discrete_stochastic_example/),
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-[a tutorial on simulating jump-diffusion processes](https://jump.sciml.ai/stable/tutorials/jump_diffusion/),
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-[a reference on the types of jumps and available simulation methods](https://jump.sciml.ai/stable/jump_types/),
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-[a reference on jump time stepping methods](https://jump.sciml.ai/stable/jump_solve/),
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-[a FAQ](https://jump.sciml.ai/stable/faq) with information on changing parameters between simulations and using callbacks,
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-[the JumpProcesses.jl API documentation](https://jump.sciml.ai/stable/api/).
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-[a tutorial on simulating basic Poisson processes](https://docs.sciml.ai/JumpProcesses/stable/tutorials/simple_poisson_process/)
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-[a tutorial and details on using JumpProcesses to simulate jump processes via SSAs (i.e. Gillespie methods)](https://docs.sciml.ai/JumpProcesses/stable/tutorials/discrete_stochastic_example/),
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-[a tutorial on simulating jump-diffusion processes](https://docs.sciml.ai/JumpProcesses/stable/tutorials/jump_diffusion/),
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-[a reference on the types of jumps and available simulation methods](https://docs.sciml.ai/JumpProcesses/stable/jump_types/),
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-[a reference on jump time stepping methods](https://docs.sciml.ai/JumpProcesses/stable/jump_solve/),
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-[a FAQ](https://docs.sciml.ai/JumpProcesses/stable/faq) with information on changing parameters between simulations and using callbacks,
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-[the JumpProcesses.jl API documentation](https://docs.sciml.ai/JumpProcesses/stable/api/).
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## Installation
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There are two ways to install `JumpProcesses.jl`. First, users may install the meta
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To install the `DifferentialEquations.jl` package, refer to the following link
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!!! note
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This tutorial assumes you have read the [Ordinary Differential Equations tutorial](https://docs.sciml.ai/dev/modules/DiffEqDocs/tutorials/ode_example/) in [`DifferentialEquations.jl`](https://docs.sciml.ai/dev/modules/DiffEqDocs/).
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This tutorial assumes you have read the [Ordinary Differential Equations tutorial](https://docs.sciml.ai/DiffEqDocs/stable/tutorials/ode_example/) in [`DifferentialEquations.jl`](https://docs.sciml.ai/DiffEqDocs/stable).
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We begin by demonstrating how to build jump processes using
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[JumpProcesses.jl](https://github.com/SciML/JumpProcesses.jl)'s different jump types,
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[JumpProcesses.jl](https://docs.sciml.ai/JumpProcesses/stable/)'s different jump types,
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which encode the rate functions (i.e. transition rates, intensities, or
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propensities) and state changes when a given jump occurs.
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Note, the SIR model considered here is a type of stochastic chemical kinetics
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jump process model, and as such the biological modeling functionality of
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[Catalyst.jl](https://github.com/SciML/Catalyst.jl) can be used to easily
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[Catalyst.jl](https://docs.sciml.ai/Catalyst/stable/) can be used to easily
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specify the model and automatically calculate inputs needed for JumpProcesses's
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optimized simulation algorithms. We summarize this alternative approach at the
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beginning for users who may be interested in modeling chemical systems, but note
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!!! note
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This tutorial assumes you have read the [Ordinary Differential Equations tutorial](https://docs.sciml.ai/dev/modules/DiffEqDocs/tutorials/ode_example/) in [`DifferentialEquations.jl`](https://docs.sciml.ai/dev/modules/DiffEqDocs/).
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This tutorial assumes you have read the [Ordinary Differential Equations tutorial](https://docs.sciml.ai/DiffEqDocs/stable/tutorials/ode_example/) in [`DifferentialEquations.jl`](https://docs.sciml.ai/DiffEqDocs/stable).
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Jump Diffusion equations are stochastic differential equations with discontinuous
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jumps. These can be written as:
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rate(u, p, t) = 2
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```
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Now we define the `affect!` of the jump. This is the same as an `affect!` from a
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