Test if a given process is running. Assuming this form process list (ps).

process_running.sh

#!/bin/bash

# Save process name to search
PROCESS=$1

# Change 'myapp' > '[m]yapp so grep don't count itself
GREP_PROCESS=`echo $PROCESS | sed 's/^\(.\)/[\1]/'`

# List processes, remove self command name and on the end count wanted process
COUNT=$(ps ax | grep -v $0 | grep -c -i $GREP_PROCESS)

if [ $COUNT -gt 0 ]
then
  echo Running;
fi